144k views
1 vote
Find the value of x.

Find the value of x.-example-1

1 Answer

3 votes

Answer: x= 19


Explanation:

RS =~ ST presumably reads segment RS is congruent to segment ST, i.e. the same length.

Then the triangle is isosceles, and angle SRT = angle STR. Angle STU = 180-angle STR.


SRT = 3x - 48, STU = 9x, so STR = 180-9x

SRT = STR

3x - 48 = 180 - 9x

3x + 9x = 180 + 48

12x = 228

x = 19


User Kevin Lynch
by
8.2k points