Answer:
x = 17, y = 9
Step-by-step explanation:
(5x - 38) and (3x - 4) are alternate angles and are congruent , so
5x - 38 = 3x - 4 ( subtract 3x from both sides )
2x - 38 = - 4 ( add 38 to both sides )
2x = 34 ( divide both sides by 2 )
x = 17
Then
5x - 38 = 5(17) - 38 = 85 - 38 = 47°
The sum of the 3 angles in a triangle = 180°
sum the 3 angles and equate to 180
7y - 20 + 47 + 90 = 180 , that is
7y + 117 = 180 ( subtract 117 from both sides )
7y = 63 ( divide both sides by 7 )
y = 9
