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# 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

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ConceptKinds of Quadrilaterals Elements of a Parallelogram

#### 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.
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