Question

Find the value of X.




Line RS= Line ST


m angle SRT = 4x-70

m angle STU = 6x


A. -35

B. 25

C. 2

D. None of the above.

Answer 1

Answer:

x =25

Step-by-step explanation:

This is an isosceles triangle because RS = ST

that means <r = <STR

4x-70 = STR

<STR + <STU = 180   straight line

subtract < STU from each side

<STR = 180 -<STU

we know angle stu = 6x

<STR = 180 -6x

we can substitute this into 4x-70 = STR

4x-70 = 180 -6x

add 6x to each side

4x+6x -70 = 180 -6x+6x

10x -70 = 180

add 70 to each side

10x-70+70 = 180+70

10x=250

divide by 10

10x/10 = 250/10

x =25