MATH SOLVE

3 months ago

Q:
# HELP I NEED YOUR HELP MATH ONE PROBLEM 10 POINTS HELP

Accepted Solution

A:

Answer:The Value of x is 40.Step-by-step explanation:Given:∠SRT ≅ ∠STR∠SRT = 20m∠SRT = 4xTo find: Value of xSolution:From the given data,m ∠SRT = 20Also ∠SRT ≅ ∠STRHence from congruence and equality property we can say that;m∠STR= 20m∠STU= 4xNow by straight angle property which states that sum of two angles which are created by a straight line is always 180.Hence, ∠STR +∠STU =180Now Substituting the given values we get;[tex]20+4x=180\\4x=180-20\\4x=160\\\\x=\frac{160}{4} =40[/tex]Hence m∠STU = 4x =4 ×40 = 160°Hence the value of x = 40.