Question

In triangle RST, if m(angle RSV) = x + 5, m(angle VST) = 3x - 9, and m(angle RST) = 68, find the value of x.

A) x = 16
B) x = 12
C) x = 19
D) x = 9

Answer 1

Upon solving the equation created by summing the given angle measures and equating them to the measure of angle RST, the value of x is found to be 16.

Step-by-step explanation:

The student is asked to find the value of x in triangle RST where the angle measures are given as m(angle RSV) = x + 5, m(angle VST) = 3x - 9, and m(angle RST) = 68 degrees.

Since angles RSV and VST are part of the larger angle RST, their measures add up to 68 degrees, which is the measure of angle RST. By setting up the equation x + 5 + 3x - 9 = 68 and solving for x, we find that x equals 16.

Therefore, the correct answer is: A) x = 16.