High School

In the figure, . Find x and y.

Question 3 options:

a. x = 32, y = 137

b. x = 38, y = 151

c. x = 52, y = 137

d. x = 137, y = 52

In the figure Find x and y Question 3 options a x 32 y 137 b x 38 y 151 c x 52 y 137

Answer :

Answer:

The answer to your question is x = 52° and y = 137°

Step-by-step explanation:

Process

1.- Find the value of x using the large right triangle, remember that the sum of the internal angles in a triangle equals 180°.

x + 38 + 90 = 180

x = 180 - 90 - 38

x = 52°

2.- To find y, we notice that x and y -9 are supplementary angles so their sum gives 180°.

x + y - 9 = 180

Substitution

52 + y - 9 = 180

y = 180 + 9 - 52

y = 137°