Question

if one of the adjacent angle of a parallelogram is one fourth of the other,find the rest of the angles

Answer 1

Step-by-step explanation:

Let one angle of parallelogram=x

Adjacent angle of parallelogram=180−x

According to problem

x=

5

4

(180−x)

5x=720−4x

9x=720

x=80

o

One angle=80

o

Adjacent angle=100

o

.

Answer 2

Let one angle of the parallelogram be x,

Its adjacent angle will be 1/4 of x = 1/4×x = x/4

Sum of the adjacent angles of a parallelogram= 180°

x + x/4 = 180°

(4x + x)/4 = 180°

5x/4 = 180°

5x = 720°

x = 144°

Its adjacent angles will be x/4 = 144°/4° = 36°

Hope it helps!!

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