Question

if two adjacent angles of a parallelogram are equal measure then the measure of each of angle of parallelogram is​

Answer 1

• adjacent angles are those angles when they have common side and vertex
• the sum of adjacent angles is 180 degrees

now your solution mate,

let ABCD be a parallelogram with angle A = angle B .........eq(1)

sum of adjacent angles parallelograms = 180 degree

so,

angle A + angle B = 180 degree

from eq(1)

angle A + angle A = 180 ( angle A = angle B from equation 1)

2angleA = 180 degree

angle A = 180/ 90

angle A = 90

• now, the opposite angles of parallelogram are equal

so angle A = angle C ....... eq (2)

and

angle B = angle D.......... eq(3)

from equation (2)

angle B = angle C

from equation (3)

angle A = angle D

from above ,

the measure of each angle of parallelogram is 90 degree

hope it's help ✌✌