Question

Find the value of x. The diagram is not to scale.
Given: ∠SRT ≅ ∠STR, m∠SRT = 20,
m∠STU = 4x

Answer 1

please explain.... i dont want just the answer.

Answer 2

okay i know that srt and str are both 20.... but i dont know what to do next

Answer 3

and i also know that the answer is definitely 40 but i want to understand my work when i turn it in

Answer 4

is there numbers for the triangle

Answer 5

since
∠SRT ≅ ∠STR -----(given)

Since m∠SRT = 20
Therefore, m∠STR = 20
now
m∠STR +m∠STU = 180 ------------(linear pair angles)
I.e.
20 +4x = 180
i.e. 4x = 180-20
i.e. 4x = 160
i.e. x = 160/4
i.e. x = 40
Thus the value of x is 40 degrees.

@sweetiepie1994

Answer 6

good job @dpasingh i could not have figured that out and good job @sweetiepie1994 for finding that it was 40

Answer 7

thank you both sooo much! :)!