Bank Exams Exam > Bank Exams Questions > In Parallelogram ABCD, bisectors of angles A ...
Start Learning for Free
In Parallelogram ABCD, bisectors of angles A and B intersect each other at O. The measure of ∠AOB is
- a)120∘
- b)60∘
- c)90∘
- d)30∘
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
In Parallelogram ABCD, bisectors of angles A and B intersect each othe...
In a parallelogram ABCD, the bisectors of angles A and B intersect at point O. The following explanation details the calculation of the measure of ∠AOB.
Parallelogram Properties
In parallelogram ABCD, angles A and B are supplementary, which means:
∠A + ∠B = 180°
Angle Bisectors
The bisectors of angles A and B intersect at O, forming angles:
∠OAB = ½∠A and ∠OBA = ½∠B
Forming ∠AOB
Angle ∠AOB can be calculated as:
∠AOB = 360° - (∠OAB + ∠OBA + ∠AOB'), where ∠AOB' is the angle opposite ∠AOB within triangle AOB.
Sum in Triangle AOB
In triangle AOB, the sum of angles is:
∠OAB + ∠OBA + ∠AOB' = 180°
Using Supplementary Angles
Given that ∠A and ∠B are supplementary:
∠AOB' = 180° - (½∠A + ½∠B) = 180° - ½ × 180° = 90°
Calculating ∠AOB
Since ∠AOB and ∠AOB' form a straight line at point O:
∠AOB = 360° - 180° - 90° = 90°
Therefore, the measure of ∠AOB is 90°.
Most Upvoted Answer
In Parallelogram ABCD, bisectors of angles A and B intersect each othe...
Angle A is 60 degrees.
Since the bisectors of angles A and B intersect at point O, angle AOB is also 60 degrees.
In a parallelogram, opposite angles are congruent. Therefore, angle C is also 60 degrees.
The sum of the angles in a triangle is 180 degrees. Since angles A, B, and C form a triangle, we can find the measure of angle B by subtracting the measures of angles A and C from 180 degrees.
180 degrees - 60 degrees - 60 degrees = 60 degrees
Therefore, the measure of angle B is 60 degrees.
Since the bisectors of angles A and B intersect at point O, angle AOB is also 60 degrees.
In a parallelogram, opposite angles are congruent. Therefore, angle C is also 60 degrees.
The sum of the angles in a triangle is 180 degrees. Since angles A, B, and C form a triangle, we can find the measure of angle B by subtracting the measures of angles A and C from 180 degrees.
180 degrees - 60 degrees - 60 degrees = 60 degrees
Therefore, the measure of angle B is 60 degrees.
Free Test
FREE
| Start Free Test |
Community Answer
In Parallelogram ABCD, bisectors of angles A and B intersect each othe...
|
Explore Courses for Bank Exams exam
|
|
Top Courses for Bank ExamsView all
Question Description
In Parallelogram ABCD, bisectors of angles A and B intersect each other at O. The measure of∠AOB isa)120b)60c)90d)30Correct answer is option 'C'. Can you explain this answer? for Bank Exams 2025 is part of Bank Exams preparation. The Question and answers have been prepared according to the Bank Exams exam syllabus. Information about In Parallelogram ABCD, bisectors of angles A and B intersect each other at O. The measure of∠AOB isa)120b)60c)90d)30Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Bank Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In Parallelogram ABCD, bisectors of angles A and B intersect each other at O. The measure of∠AOB isa)120b)60c)90d)30Correct answer is option 'C'. Can you explain this answer?.
In Parallelogram ABCD, bisectors of angles A and B intersect each other at O. The measure of∠AOB isa)120b)60c)90d)30Correct answer is option 'C'. Can you explain this answer? for Bank Exams 2025 is part of Bank Exams preparation. The Question and answers have been prepared according to the Bank Exams exam syllabus. Information about In Parallelogram ABCD, bisectors of angles A and B intersect each other at O. The measure of∠AOB isa)120b)60c)90d)30Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Bank Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In Parallelogram ABCD, bisectors of angles A and B intersect each other at O. The measure of∠AOB isa)120b)60c)90d)30Correct answer is option 'C'. Can you explain this answer?.
Solutions for In Parallelogram ABCD, bisectors of angles A and B intersect each other at O. The measure of∠AOB isa)120b)60c)90d)30Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Bank Exams.
Download more important topics, notes, lectures and mock test series for Bank Exams Exam by signing up for free.
Here you can find the meaning of In Parallelogram ABCD, bisectors of angles A and B intersect each other at O. The measure of∠AOB isa)120b)60c)90d)30Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
In Parallelogram ABCD, bisectors of angles A and B intersect each other at O. The measure of∠AOB isa)120b)60c)90d)30Correct answer is option 'C'. Can you explain this answer?, a detailed solution for In Parallelogram ABCD, bisectors of angles A and B intersect each other at O. The measure of∠AOB isa)120b)60c)90d)30Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of In Parallelogram ABCD, bisectors of angles A and B intersect each other at O. The measure of∠AOB isa)120b)60c)90d)30Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice In Parallelogram ABCD, bisectors of angles A and B intersect each other at O. The measure of∠AOB isa)120b)60c)90d)30Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Bank Exams tests.
|
|
Explore Courses for Bank Exams 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 on EduRev and stay on top of your study goals
10M+ students crushing their study goals daily