Q. 14.7( 16 Votes )

# The adjacent angl

Let us assume a parallelogram ABCD,

We know that the sum of the adjacent angles in a parallelogram is 1800.

We also know that the angles at the opposite vertices are equal.

i.e., A + B = 1800. ...... - (1)

A = C ...... ...... (2)

B = D ...... ...... (3)

According to the problem, it is given that the adjacent angles are in the ratio of 2:1.

Let us assume that the adjacent angles be A and B.

Let’s take the values of B = 2x and A = x

From eq(1) we get,

x + 2x = 1800

3x = 1800

x = 600.

Now find the value of A and B,

A = x

A = 600

B = 2x

B = 2 × 600

B = 1200

From (2) and (3) we get,

C = 600 and D = 1200

The values of A, B, C and D is 600, 1200, 600, 1200.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses