Question

In a paralleogram ABCD m angle a m angle b 1:4 find all the angles

Answer 1

In the parallelogram ABCD-

 A+B = 180 (Since, adjacent angles in a parallelogram are supplementary.)

 

Let measure of B be 'x'

or, x + 3x = 180

or, 4x = 180

or, x= 180/4

or x= 45

B= x = 45

 

A= 3x = 3*45= 135

 

C=A (since, opposite angles in a parallelogram are equal)

C= 135

 

D=B (since, opposite angles in a parallelogram are equal)

D= 45

:. The measure of the anges of the parallelogram ABCD are:

A= 135

B= 45

C= 135

D= 45