Question

I need help in my ALEKS homework :)

Answer 1

You can use the rules of parallel angles for these so the angles within the c shape add up to 180, this means that z=117 degrees (180-63=117) now you can workout what y is as opposite angles on a point are equal to each other therefore (5y-53) will equal 117
So now you can use this and rearrange to find y
So 5y-53=117
5y=117+53 as the sign changes
5y=170
y=170/5
y=34

Answer 2

z= 117°

y = 34

Hope it helps!

Explanation:

(5y - 53) + 63 =180°

5y + 10 =180

5y = 170

y= 34

z and y are congruent (vertical angles)

5 (34) - 53 = z

170 - 53 = z

z = 117