Question

If the measure of angle G is (4x-16) and the measure of angle H is (2x-16) what is the measure of angle H, in parallelogram EFGH?

Answer 1

Answer:

∡H = 54.6667°

Step-by-step explanation:

In a paralelogram

G + H = 180°

then:

(4x-16) + (2x-16) = 180°

4x + 2x - 16 - 16 = 180

6x - 32 = 180

6x = 180 + 32

6x = 212

x = 212/6

x = 35.3333

Angle H:

(2x-16) = (2*35.3333 - 16)

= 70.66667 - 16

= 54.66667°