Question

The measures of two adjacent angles of parallelogram are in the ratio of 4:2. Find the

measure of each of the angles of the parallelogram​

Answer 1

Answer:

A=120 B=60 C=120 D=60

Step-by-step explanation:

ADJACENT ANGLES OF PARALLELOGRAM ARE SUPPLEMENTARY

THEREFORE

A + B = 180

A:B = 4:2

LET THE COMMON MULTIPLE BE X.

A = 4X

B = 2X

4X + 2X = 180

6X = 180

X = 180/6

X = 30

SUBSTITUE X WITH 3O

THEREFORE,

A = 120

B = 60

WE KNOW

OPPOSITE ANGLES OF PARALLEOGRAM ARE CONGRUENT

THEREFORE

C = 120

D = 60.