Class 9 Exam > Class 9 Questions > Prove that sum of three angles of a triangle ...
Start Learning for Free
Prove that sum of three angles of a triangle is 180 degree using this result, find value of x and all the three angles of a triangle, if it is given that three angles of triangle are (2x-7),(x+25)and (3x+12) respectively find out ?
Most Upvoted Answer
Prove that sum of three angles of a triangle is 180 degree using this ...
Proof of Sum of Three Angles of a Triangle is 180 degrees:
- Let the three angles of a triangle be A, B, and C.
- According to the result, A + B + C = 180 degrees.
Finding the Value of x and Angles of the Triangle:
- Let the angles of the triangle be (2x-7), (x+25), and (3x+12) respectively.
- According to the sum of angles of a triangle, we have (2x-7) + (x+25) + (3x+12) = 180.
- Simplifying the equation, we get 2x - 7 + x + 25 + 3x + 12 = 180.
- Combining like terms, we get 6x + 30 = 180.
- Subtracting 30 from both sides, we get 6x = 150.
- Dividing by 6, we get x = 25.
Finding the Angles of the Triangle:
- Substitute x = 25 into the expressions for the angles:
- Angle A = 2(25) - 7 = 50 - 7 = 43 degrees.
- Angle B = 25 + 25 = 50 degrees.
- Angle C = 3(25) + 12 = 75 + 12 = 87 degrees.
Therefore, the value of x is 25 and the three angles of the triangle are 43 degrees, 50 degrees, and 87 degrees.
- Let the three angles of a triangle be A, B, and C.
- According to the result, A + B + C = 180 degrees.
Finding the Value of x and Angles of the Triangle:
- Let the angles of the triangle be (2x-7), (x+25), and (3x+12) respectively.
- According to the sum of angles of a triangle, we have (2x-7) + (x+25) + (3x+12) = 180.
- Simplifying the equation, we get 2x - 7 + x + 25 + 3x + 12 = 180.
- Combining like terms, we get 6x + 30 = 180.
- Subtracting 30 from both sides, we get 6x = 150.
- Dividing by 6, we get x = 25.
Finding the Angles of the Triangle:
- Substitute x = 25 into the expressions for the angles:
- Angle A = 2(25) - 7 = 50 - 7 = 43 degrees.
- Angle B = 25 + 25 = 50 degrees.
- Angle C = 3(25) + 12 = 75 + 12 = 87 degrees.
Therefore, the value of x is 25 and the three angles of the triangle are 43 degrees, 50 degrees, and 87 degrees.
Attention Class 9 Students!
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.
|
Explore Courses for Class 9 exam
|
|
Similar Class 9 Doubts
Top Courses for Class 9View all
Prove that sum of three angles of a triangle is 180 degree using this result, find value of x and all the three angles of a triangle, if it is given that three angles of triangle are (2x-7),(x+25)and (3x+12) respectively find out ?
Question Description
Prove that sum of three angles of a triangle is 180 degree using this result, find value of x and all the three angles of a triangle, if it is given that three angles of triangle are (2x-7),(x+25)and (3x+12) respectively find out ? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Prove that sum of three angles of a triangle is 180 degree using this result, find value of x and all the three angles of a triangle, if it is given that three angles of triangle are (2x-7),(x+25)and (3x+12) respectively find out ? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Prove that sum of three angles of a triangle is 180 degree using this result, find value of x and all the three angles of a triangle, if it is given that three angles of triangle are (2x-7),(x+25)and (3x+12) respectively find out ?.
Prove that sum of three angles of a triangle is 180 degree using this result, find value of x and all the three angles of a triangle, if it is given that three angles of triangle are (2x-7),(x+25)and (3x+12) respectively find out ? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Prove that sum of three angles of a triangle is 180 degree using this result, find value of x and all the three angles of a triangle, if it is given that three angles of triangle are (2x-7),(x+25)and (3x+12) respectively find out ? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Prove that sum of three angles of a triangle is 180 degree using this result, find value of x and all the three angles of a triangle, if it is given that three angles of triangle are (2x-7),(x+25)and (3x+12) respectively find out ?.
Solutions for Prove that sum of three angles of a triangle is 180 degree using this result, find value of x and all the three angles of a triangle, if it is given that three angles of triangle are (2x-7),(x+25)and (3x+12) respectively find out ? in English & in Hindi are available as part of our courses for Class 9.
Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of Prove that sum of three angles of a triangle is 180 degree using this result, find value of x and all the three angles of a triangle, if it is given that three angles of triangle are (2x-7),(x+25)and (3x+12) respectively find out ? defined & explained in the simplest way possible. Besides giving the explanation of
Prove that sum of three angles of a triangle is 180 degree using this result, find value of x and all the three angles of a triangle, if it is given that three angles of triangle are (2x-7),(x+25)and (3x+12) respectively find out ?, a detailed solution for Prove that sum of three angles of a triangle is 180 degree using this result, find value of x and all the three angles of a triangle, if it is given that three angles of triangle are (2x-7),(x+25)and (3x+12) respectively find out ? has been provided alongside types of Prove that sum of three angles of a triangle is 180 degree using this result, find value of x and all the three angles of a triangle, if it is given that three angles of triangle are (2x-7),(x+25)and (3x+12) respectively find out ? theory, EduRev gives you an
ample number of questions to practice Prove that sum of three angles of a triangle is 180 degree using this result, find value of x and all the three angles of a triangle, if it is given that three angles of triangle are (2x-7),(x+25)and (3x+12) respectively find out ? tests, examples and also practice Class 9 tests.
|
|
Explore Courses for Class 9 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup