Question

ABCD is a parallelogram in which angle A is equal to75 degrees Find each measures of angle B angle C and angle D

Answer 1

Given.. hope it helps!

Explanation:

It is given that angle A is 75°

The angle diagonally opposite to angle A, which is angle C, is also equal

So angle C= 75°

(cuz opposite angle in a parallelogram are equal)

Also,

In a parallelogram, the adjacent angles (angles next to each other add up to 180)

So angle A + angle B = 180

we know angle A

so,

75+B=180

B=180-75

= 105°

Same way angle C + angle D are adjacent so they add up to 180

C+D=180

we know what is C

So,

75+D=180°

D=180-75

= 105°

Answer 2

B+A=180 degrees

B=105 degrees

B and D=105 degrees

A and C=75 degrees