0

Guest

Courses New

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.

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. 

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5963 Points
3 years ago
​Dear Student

Let the measures of two adjacent angles ∠A and ∠B be 3x and 2x respectively inparallelogram ABCD.
∠A+∠B=180°
⇒3x+2x=180°
⇒5x=180°
⇒x=36°
We know that opposite sides of a parallelogram are equal.∠A = ∠C = 3x = 3 × 36° = 108°
∠B = ∠D = 2x = 2 × 36° =72°
​
​​Thanks

Think You Can Provide A Better Answer ?

Other Related Questions on 9 grade science

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More