Answer :

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

We know that the sum of the measures of adjacent angles is 180^{o} for a parallelogram

∠A + ∠B = 180^{o}

3 x + 2 x = 180^{o}

5 x = 180^{o}

∠A = ∠C = 3 x = 3 x 36° = 108^{o} (Opposite angles)

∠B = ∠D = 2 x = 2 x 36° = 72^{o} (Opposite angles)

Hence, the measure of the angles of the parallelogram are 108^{o}, 72^{o}, 108^{o}, and 72^{o}

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

Related Videos

Smart Revision | Let's Revise Properties of Polygon32 mins

NCERT I Quiz on Understanding Quadrilaterals54 mins

Smart Revision | Let's Classify Quadrilaterals and Find their Properties34 mins

Genius Quiz | Understanding Quadrilaterals20 mins

Quiz | Polygon & their Properties46 mins

Members of Quadrilaterals65 mins

Smart Revision | All Types of Quadrilaterals and Their Properties35 mins

Quadrilaterals32 mins

Champ Quiz | Polygons (Quadrilaterals)30 mins

Understanding Quadrilateral43 mins

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Expertsview all courses

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation

RELATED QUESTIONS :

The angle betweenRD Sharma - Mathematics

A playground is iNCERT - Mathematics Exemplar

Diagonals of a paRD Sharma - Mathematics

The perimeter of RD Sharma - Mathematics