Question

The angle measures of triangle QRS are given. Measures of Q is (5x - 15), The measure of angle R is 75, The measure of angle S is (3x) What is the value of X?

A) 15
B) 20
C) 25
D) 30

Answer 1

Correct option is A). To find the value of x in triangle QRS, we use the fact that the sum of angles in a triangle is 180 degrees. By setting up and solving the equation 5x - 15 + 75 + 3x = 180, we find that x equals 15.

Step-by-step explanation:

To find the value of x in triangle QRS, we can use the fact that the sum of the angles in any triangle equals 180 degrees. So, we can set up the equation 5x - 15 + 75 + 3x = 180 to represent the sum of the angles Q, R, and S respectively. Solving this equation will give us the required value of x.

First, we combine like terms (the x terms and the constant terms):

5x + 3x + 75 - 15 = 180
8x + 60 = 180

Next, we subtract 60 from both sides to isolate the variable term:

8x = 120

Now, we divide both sides by 8:

x = 15

Therefore, the value of x is 15, which corresponds to answer choice A).