Question

Right triangle EFG and right triangle EHG overlap as shown below. Angle HEG measures 35° and angle FGE measures 30°.

What are the values of x and y?

Answer 1

x=25°

y=25°

Explanation:

E^+F+EG^F=180°(sum of int. angles of triangle)

x+35+90+30=180

x=180-90-30-35

×=25

HE^G+H+G=180° (sum of int. angles of triangle)

35+30+y+90=180

y=180-90-35-30

y=25