Answer: The value of x is 40
Step-by-step explanation:
Given triangle SRT,
Angle SRT = 20 and Angle SRT = Angle STR
To find Angle STU:
We know that
The sum of all interior angles of triangle is equal to 180.
Angle SRT + Angle STR + Angle RST =180
Also, Angle SRT = Angle STR =20
20+20+Angle RST=180
Angle RST=140.
Now. The exterior angle of triangle is equal to sum of opposite interior angles of triangle,
Angle STU=4x=Angle RST+Angle SRT
4x=20+140
4x=160
x=40
Therefore, The value of x is 40
