WILL MARK BRAINLIEST To find the measure of ∠A in ∆ABC, use the . To find the length of side HI in ∆HIG, use the .

Please mark me brainliest! :D

Part 1) To find the measure of ∠A in ∆ABC, use

we know that

In the triangle ABC

Applying the law of sines

in this problem we have

therefore

the answer Part 1) is

Law of Sines

Part 2) To find the length of side HI in ∆HIG, use

we know that

In the triangle HIG

Applying the law of cosines

In this problem we have

g=HI

G=angle Beta

substitute

therefore

the answer Part 2) is

Law of Cosines

the sum of all the angles in a triangle are equal to 180

so you can add   the 3 given angles together to equal 180:

5y + 2y + 2y = 180

or since all three angles have the same letter, combine the 3 angles to equal 180:

9y = 180