Question

PLEASEE HELP I NEED IT its about due

Answer 1

∠GJK is 22°

Explanation:

Because the shape is a rectangle we know that GH is parallel to JI

This means that because of the alternate angle rule we know that

5x+8 = 7x-16

Then we solve for x

5x+8-5x = 7x-16-5x

8+16=2x-16+16

`(24)/(2)`=
`(2x)/(2)`

x=16

So this means that ∠HJI is 68°

Because the shape is a rectangle we know that ∠GJI is a right angle

This means that ∠GJK is 90-∠HJI because of the angles on a right angle rule

90-68 =22

∴∠GJK is 22°