Question
segment Y X is parallel to segment T S
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.
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.
Answers
Bot
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.
Therefore, we can set up an equation:
3a - 15 = 60
Solving for a:
3a = 75
a = 25
Therefore, the value of a is 25.