Question

What are the values of x and y?

Answer 1

Answer is
x = 70 for angle x
y = 102 for angle y

Step by step

Angle “y” is a supplemental angle with 78, so the sum of both angles would = 180.
180 - 78 = 102 for angle y

Angle “x”
Triangle RST angles will total 180.
We know angle T = 32 and R = 78
180 - 32 - 78 = 70 for angle x

You can check your work by adding the three angles of the larger triangle QST, it will = 180

Angle T is 32 + 21 = 53
Angle Q is 57
Angle X is 70

53 + 57 + 70 = 180

Problem solved!

Answer 2

Using linear pairs,
`y=102`.

Using the angle sum in
`\triangle TRS`,
`x=70`.