segment Y X is parallel to segment T S

Question

the measure of angle R T S equals 60°

the measure of angle R Y X = left-parenthesis 3 a minus 15 right parenthesis degrees

A diagram.Short description, A diagram.,Long description,
The diagram shows triangle R T S. Point Y is on side R T and point X is on side S R. Points Y and X are connected to form segment Y X, which also forms triangle R Y X inscribed within triangle R T S.


Question
What is the value of a? Enter the answer in the box.

Answer 1

Since segment YX is parallel to segment TS, we know that angle RYX is also equal to 60 degrees (corresponding angles).

Therefore, we can set up an equation:

3a - 15 = 60

Solving for a:

3a = 75

a = 25

Therefore, the value of a is 25.