SAT Exam > SAT Questions > Point P is the center of the circle in the fi...
Start Learning for Free
Point P is the center of the circle in the figure above. What is the value of x?
Correct answer is '80'. Can you explain this answer?
Verified Answer
Point P is the center of the circle in the figure above. What is the v...
The measure of an angle inscribed in a circle is half the measure of the central angle that intercepts the same arc. That is, 
Also, the sum of the interior angles of quadrilateral ABCP is 360°, and the measure of the obtuse angle P is 360° − x°. Hence, 
Simplifying this equation gives 
Alternate approach: If points A and P are joined, then the triangles that will be formed, APB and APC, are isosceles because PA = PB = PC. It follows that the base angles on both triangles each have measure of 20°. Angle A consists of two base angles, and therefore, mÐA = 40° . Since the measure of an angle inscribed in a circle is half the measure of the central angle that intercepts the same arc, it follows that the value of x is 80°.
Also, the sum of the interior angles of quadrilateral ABCP is 360°, and the measure of the obtuse angle P is 360° − x°. Hence, Simplifying this equation gives Alternate approach: If points A and P are joined, then the triangles that will be formed, APB and APC, are isosceles because PA = PB = PC. It follows that the base angles on both triangles each have measure of 20°. Angle A consists of two base angles, and therefore, mÐA = 40° . Since the measure of an angle inscribed in a circle is half the measure of the central angle that intercepts the same arc, it follows that the value of x is 80°.
Most Upvoted Answer
Point P is the center of the circle in the figure above. What is the v...
The measure of an angle inscribed in a circle is half the measure of the central angle that intercepts the same arc. That is, Also, the sum of the interior angles of quadrilateral ABCP is 360°, and the measure of the obtuse angle P is 360° − x°. Hence, Simplifying this equation gives
Alternate approach: If points A and P are joined, then the triangles that will be formed, APB and APC, are isosceles because PA = PB = PC. It follows that the base angles on both triangles each have measure of 20°. Angle A consists of two base angles, and therefore, mÐA = 40° . Since the measure of an angle inscribed in a circle is half the measure of the central angle that intercepts the same arc, it follows that the value of x is 80°.
Also, the sum of the interior angles of quadrilateral ABCP is 360°, and the measure of the obtuse angle P is 360° − x°. Hence, Simplifying this equation gives Alternate approach: If points A and P are joined, then the triangles that will be formed, APB and APC, are isosceles because PA = PB = PC. It follows that the base angles on both triangles each have measure of 20°. Angle A consists of two base angles, and therefore, mÐA = 40° . Since the measure of an angle inscribed in a circle is half the measure of the central angle that intercepts the same arc, it follows that the value of x is 80°.
Free Test
FREE
| Start Free Test |
Community Answer
Point P is the center of the circle in the figure above. What is the v...
The measure of an angle inscribed in a circle is half the measure of the central angle that intercepts the same arc. That is, Also, the sum of the interior angles of quadrilateral ABCP is 360°, and the measure of the obtuse angle P is 360° − x°. Hence, Simplifying this equation gives
Alternate approach: If points A and P are joined, then the triangles that will be formed, APB and APC, are isosceles because PA = PB = PC. It follows that the base angles on both triangles each have measure of 20°. Angle A consists of two base angles, and therefore, mÐA = 40° . Since the measure of an angle inscribed in a circle is half the measure of the central angle that intercepts the same arc, it follows that the value of x is 80°.
Also, the sum of the interior angles of quadrilateral ABCP is 360°, and the measure of the obtuse angle P is 360° − x°. Hence, Simplifying this equation gives Alternate approach: If points A and P are joined, then the triangles that will be formed, APB and APC, are isosceles because PA = PB = PC. It follows that the base angles on both triangles each have measure of 20°. Angle A consists of two base angles, and therefore, mÐA = 40° . Since the measure of an angle inscribed in a circle is half the measure of the central angle that intercepts the same arc, it follows that the value of x is 80°.
|
Explore Courses for SAT exam
|
|
Similar SAT Doubts
Top Courses for SATView all
Point P is the center of the circle in the figure above. What is the value of x?Correct answer is '80'. Can you explain this answer?
Question Description
Point P is the center of the circle in the figure above. What is the value of x?Correct answer is '80'. Can you explain this answer? for SAT 2025 is part of SAT preparation. The Question and answers have been prepared according to the SAT exam syllabus. Information about Point P is the center of the circle in the figure above. What is the value of x?Correct answer is '80'. Can you explain this answer? covers all topics & solutions for SAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Point P is the center of the circle in the figure above. What is the value of x?Correct answer is '80'. Can you explain this answer?.
Point P is the center of the circle in the figure above. What is the value of x?Correct answer is '80'. Can you explain this answer? for SAT 2025 is part of SAT preparation. The Question and answers have been prepared according to the SAT exam syllabus. Information about Point P is the center of the circle in the figure above. What is the value of x?Correct answer is '80'. Can you explain this answer? covers all topics & solutions for SAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Point P is the center of the circle in the figure above. What is the value of x?Correct answer is '80'. Can you explain this answer?.
Solutions for Point P is the center of the circle in the figure above. What is the value of x?Correct answer is '80'. Can you explain this answer? in English & in Hindi are available as part of our courses for SAT.
Download more important topics, notes, lectures and mock test series for SAT Exam by signing up for free.
Here you can find the meaning of Point P is the center of the circle in the figure above. What is the value of x?Correct answer is '80'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Point P is the center of the circle in the figure above. What is the value of x?Correct answer is '80'. Can you explain this answer?, a detailed solution for Point P is the center of the circle in the figure above. What is the value of x?Correct answer is '80'. Can you explain this answer? has been provided alongside types of Point P is the center of the circle in the figure above. What is the value of x?Correct answer is '80'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Point P is the center of the circle in the figure above. What is the value of x?Correct answer is '80'. Can you explain this answer? tests, examples and also practice SAT tests.
|
|
Explore Courses for SAT exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup