Question

Triangle XYZ~ triangle, RST. m<X= 50° m<S= 79° what is the measure of angle T?

Answer 1

Since triangle XYZ is similar to triangle RST, corresponding angles are equal.

m<X = m<R
50° = m<R

m<S = m<S
79° = 79°

Since the sum of angles in a triangle is 180°, we can find the measure of angle T by subtracting the sum of angles in triangle RST from 180°.

m<T = 180° - m<R - m<S
m<T = 180° - 50° - 79°
m<T = 51°

Therefore, the measure of angle T is 51°.