AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

In a parallelogram, one of its angles is two-third of its adjacent angle. Find the largest angle of the parallelogram.

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

108°

56°

72°

89°

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Given that one angle of a parallelogram is two-third of its adjacent angle.
We will start by drawing a parallelogram ABCD, where one angle is two-third of its adjacent angle.
Question Image

Let

∠ A

to be x then its adjacent angle,

∠ D

will be

2 x 3

.
Since the sum of adjacent angles of a parallelogram is 180° we have,

∠ A + ∠ D = 180 ° x + 2 x 3 = 180 ° 5 x 3 = 180 ° x = 108 °

Let us now substitute the value of x in

2 x 3

2 x 3 = 2 (108 °) 3 2 x 3 = 72 °

As we know alternate angles of parallelogram are equal, we have,

∠ A = ∠ C = 108 °

and

∠ B = ∠ D = 72 °

.
Therefore, the largest angle of the given parallelogram is 108°.
So, 1 is the correct option.

Watch 3-min video & get full concept clarity

courses

No courses found

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!