CBSE Class 8CBSE
Share
Notifications

View all notifications

The Measures of Two Adjacent Angles of a Parallelogram Are in the Ratio 3:2. Find the Measure of Each of the Angles of the Parallelogram - CBSE Class 8 - Mathematics

Login
Create free account


      Forgot password?

Question

The measures of two adjacent angles of a parallelogram are in the ratio 3:2. Find the measure of each of the angles of the parallelogram.

Solution

Let the measures of two adjacent angles, ∠A and ∠B, of parallelogram ABCD are in the ratio of 3:2. Let ∠A = 3x and ∠B = 2x

We know that the sum of the measures of adjacent angles is 180º for a parallelogram.

∠A + ∠B = 180º

3x + 2x = 180º

5x = 180º

`x = 180^@/5 = 36`

∠A = ∠C = 3x = 108º (Opposite angles)

∠B = ∠D = 2x = 72º (Opposite angles)

Thus, the measures of the angles of the parallelogram are 108º, 72º, 108º, and 72º

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 8 (2018 to Current)
Chapter 3: Understanding Quadrilaterals
Ex. 3.30 | Q: 5 | Page no. 51

Video TutorialsVIEW ALL [1]

Solution The Measures of Two Adjacent Angles of a Parallelogram Are in the Ratio 3:2. Find the Measure of Each of the Angles of the Parallelogram Concept: Kinds of Quadrilaterals - Elements of a Parallelogram.
S
View in app×