Question

In a parallelogram ABCD, measure of ∟A is three times the measure of ∟B.
Find all the four angles.​​​​

Answer 1

Given ,

3 LB = LA

WE KNOW THAT ,

A + B = 180 { SUM OF CO-INTERIOR ANGLES }

B + 3B = 180

4B = 180

B = 45

SO , B = D = 45 {OPPOSITE ANGLES OF RECTANGLE}

       A =C = 3B = 135

HENCE A=135 ,B=45 , C=135 ,D=45

Answer 2

Answer:

Step-by-step explanation:

let the measure of angle B be x.

angle A = 3x

angle A + ange B= 180(sum of adjacent angles of a parallelogram is 180)

x + 3x = 180

4x = 180

x = 45

angle A = 3x = 135

angle B = x = 45

angle C = 135( opposite angles in parallelogram are equal)

angle D = 45 ( opposite angles in parallelogram are equal)