Triangle RST ~ Triangle XYZ m<R = 18 degrees, m<s = 75 degrees, what are the measures of angles X,Y, and Z
Since Triangle RST is similar to Triangle XYZ, the corresponding angles are congruent. Therefore, the measure of ∠X is 18 degrees, and the measure of ∠Y is 75 degrees.
Since the sum of the measures of the angles of a triangle is 180 degrees, we can subtract the measures of ∠X and ∠Y from 180 to find the measure of ∠Z.
∠Z = 180 - ∠X - ∠Y
∠Z = 180 - 18 - 75
∠Z = 87 degrees