Q. 4 A3.9( 50 Votes )

# ABCD is a parallelogram. The ratio of ∠A and ∠B of this parallelogram is 5 : 4. Find the measure of ∠B.

Given: A : B = 5:4

Let the measure of A = 5x

Then B = 4x

Since the adjacent angles of a parallelogram are complementary, therefore A + B = 180°

5x + 4x = 180°

9x = 180°

x = 20°

A = 5x = 5 × 20° = 100°

B = 4x = 4 × 20° = 80°

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Foundation | Trigonometic Ratio38 mins
Matter and Its Classification34 mins
Speed and Velocity59 mins
Wren and Martin | Grammar44 mins
Disease and its Types44 mins
Antibiotics and Vaccines39 mins
Tips and Tricks of Memorization38 mins
Quiz | Area and Parallelogram46 mins
Articles and Determiners54 mins
NCERT | Angle Sum Property44 mins
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