Question

The sum of the measures of angle M and angle R is 90°. The measure of angle M is (5x + 10)°. The measure of angle R is 55°. What is the value of x?

* A. 6
* B. 8
* C. 9
* D. 10

Answer 1

After setting up the equation (5x + 10) + 55 = 90 and solving for x, the value of x is found to be 5, which does not match the provided answer choices.

Step-by-step explanation:

To find the value of x, we must use the given information that the sum of the measures of angle M and angle R is 90°. The measure of angle M is given as (5x + 10)°, and the measure of angle R is 55°.

We set up the equation:

(5x + 10)° + 55° = 90°

Solving for x:

1. 5x + 10 + 55 = 90
2. 5x + 65 = 90
3. 5x = 90 - 65
4. 5x = 25
5. x = 25 / 5
6. x = 5

Therefore, the value of x is 5. However, this value is not listed as one of the provided choices, indicating a potential mistake in either the provided information or the question choices presented. As such, we are unable to match the calculated value of x to one of the choices A, B, C, or D.