Answer:
<h2>a = 400/21, b = 580/21</h2>Step-by-step explanation:
Small triangles are similar. Therefore, the sides are proportional
<em>cross multiply</em>
<em>divide both sides by 21</em>
For b, we can use the Pythagorean theorem:
Answer:
∠GJK is 22°
Step-by-step 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
=
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°
