Class 7 Exam > Class 7 Questions > In a ∆XYZ, if ∠X = 90° and &ang...
Start Learning for Free
In a ∆XYZ, if ∠X = 90° and ∠Z = 48°, find ∠Y.
- a)42°
- b)45°
- c)40°
- d)35°
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
In a ∆XYZ, if ∠X = 90° and ∠Z = 48°, find∠Y....
We know that the sum of the angles of a triangle is 180°.
Most Upvoted Answer
In a ∆XYZ, if ∠X = 90° and ∠Z = 48°, find∠Y....
Understanding Triangle Angles
In any triangle, the sum of all interior angles is always 180 degrees. This fundamental principle allows us to find the missing angle when the other two angles are known.
Given Information
- ∠X = 90 degrees (Right angle)
- ∠Z = 48 degrees
Finding ∠Y
To find ∠Y, we can use the following formula:
- Sum of angles in a triangle = 180 degrees
Thus, we can express this as:
∠X + ∠Y + ∠Z = 180 degrees
Now, substituting the known values:
- 90 degrees + ∠Y + 48 degrees = 180 degrees
Solving for ∠Y
Now, let's simplify the equation:
- First, add the known angles:
- 90 degrees + 48 degrees = 138 degrees
- Now substitute this sum back into the equation:
- 138 degrees + ∠Y = 180 degrees
- To find ∠Y, subtract 138 degrees from both sides:
- ∠Y = 180 degrees - 138 degrees
- ∠Y = 42 degrees
Conclusion
Therefore, the measure of angle Y is 42 degrees.
The correct answer is option 'A'.
In any triangle, the sum of all interior angles is always 180 degrees. This fundamental principle allows us to find the missing angle when the other two angles are known.
Given Information
- ∠X = 90 degrees (Right angle)
- ∠Z = 48 degrees
Finding ∠Y
To find ∠Y, we can use the following formula:
- Sum of angles in a triangle = 180 degrees
Thus, we can express this as:
∠X + ∠Y + ∠Z = 180 degrees
Now, substituting the known values:
- 90 degrees + ∠Y + 48 degrees = 180 degrees
Solving for ∠Y
Now, let's simplify the equation:
- First, add the known angles:
- 90 degrees + 48 degrees = 138 degrees
- Now substitute this sum back into the equation:
- 138 degrees + ∠Y = 180 degrees
- To find ∠Y, subtract 138 degrees from both sides:
- ∠Y = 180 degrees - 138 degrees
- ∠Y = 42 degrees
Conclusion
Therefore, the measure of angle Y is 42 degrees.
The correct answer is option 'A'.
|
Explore Courses for Class 7 exam
|
|
Similar Class 7 Doubts
Top Courses for Class 7View all
In a ∆XYZ, if ∠X = 90° and ∠Z = 48°, find∠Y.a)42°b)45°c)40°d)35°Correct answer is option 'A'. Can you explain this answer?
Question Description
In a ∆XYZ, if ∠X = 90° and ∠Z = 48°, find∠Y.a)42°b)45°c)40°d)35°Correct answer is option 'A'. Can you explain this answer? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about In a ∆XYZ, if ∠X = 90° and ∠Z = 48°, find∠Y.a)42°b)45°c)40°d)35°Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a ∆XYZ, if ∠X = 90° and ∠Z = 48°, find∠Y.a)42°b)45°c)40°d)35°Correct answer is option 'A'. Can you explain this answer?.
In a ∆XYZ, if ∠X = 90° and ∠Z = 48°, find∠Y.a)42°b)45°c)40°d)35°Correct answer is option 'A'. Can you explain this answer? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about In a ∆XYZ, if ∠X = 90° and ∠Z = 48°, find∠Y.a)42°b)45°c)40°d)35°Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a ∆XYZ, if ∠X = 90° and ∠Z = 48°, find∠Y.a)42°b)45°c)40°d)35°Correct answer is option 'A'. Can you explain this answer?.
Solutions for In a ∆XYZ, if ∠X = 90° and ∠Z = 48°, find∠Y.a)42°b)45°c)40°d)35°Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 7.
Download more important topics, notes, lectures and mock test series for Class 7 Exam by signing up for free.
Here you can find the meaning of In a ∆XYZ, if ∠X = 90° and ∠Z = 48°, find∠Y.a)42°b)45°c)40°d)35°Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
In a ∆XYZ, if ∠X = 90° and ∠Z = 48°, find∠Y.a)42°b)45°c)40°d)35°Correct answer is option 'A'. Can you explain this answer?, a detailed solution for In a ∆XYZ, if ∠X = 90° and ∠Z = 48°, find∠Y.a)42°b)45°c)40°d)35°Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of In a ∆XYZ, if ∠X = 90° and ∠Z = 48°, find∠Y.a)42°b)45°c)40°d)35°Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice In a ∆XYZ, if ∠X = 90° and ∠Z = 48°, find∠Y.a)42°b)45°c)40°d)35°Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 7 tests.
|
|
Explore Courses for Class 7 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