△XYZ∼△RST. m∠X=50°, m∠S=79°. What is the measure of angle T?(1 point)m∠T = °
To find the measure of angle T, let's use the properties of similar triangles.
In similar triangles, corresponding angles are congruent. So, we know that angle X is corresponding to angle R and angle Y is corresponding to angle S.
Since we are given that m∠X=50° and m∠S=79°, we can conclude that m∠R=50° and m∠Y=79°.
Now, since the sum of angles in a triangle is 180°, we can find the measure of angle T by subtracting the measures of angles R and S from 180° and then subtracting the measure of angle Y.
m∠T = 180° - m∠R - m∠S - m∠Y
m∠T = 180° - 50° - 79° - 79°
m∠T = 180° - 208°
m∠T = -28°
Therefore, the measure of angle T is -28°.