Question

HELP I NEED YOUR HELP MATH ONE PROBLEM 10 POINTS HELP

Answer 1

The Value of x is 40.

Explanation:

Given:

∠SRT ≅ ∠STR

∠SRT = 20

m∠SRT = 4x

To find: Value of x

Solution:

From the given data,

m ∠SRT = 20

Also ∠SRT ≅ ∠STR

Hence from congruence and equality property we can say that;

m∠STR= 20

m∠STU= 4x

Now by straight angle property which states that sum of two angles which are created by a straight line is always 180.

Hence,

∠STR +∠STU =180

Now Substituting the given values we get;

`20+4x=180\\4x=180-20\\4x=160\\\\x=(160)/(4) =40`

Hence m∠STU = 4x =4 ×40 = 160°

Hence the value of x = 40.