Question

ABC is similar to RST
In addition, Measure angle C=76 degrees and measure angle S=3(measure angle A)
What is Measure angle A?

Answer 1

In similar triangles corresponding angles are equal.

Therefore, Angles A = R, B = S and C = T

Given, S = 3A

hence, B = 3A

Now using angle sum property in triangle ABC

A + B + C = 180 degrees

=> A + 3A + 76 = 180

=> 4A = 180-76 = 104

=> A = 104/4 = 26

Hence, measure of angle A is 26 degrees.