Final answer:
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:
- 5x + 10 + 55 = 90
- 5x + 65 = 90
- 5x = 90 - 65
- 5x = 25
- x = 25 / 5
- 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.