The sum of the measures of angle M and angle R is 90 degrees.

Question

* The measure of angle M is (5x + 10) degrees
* The measure of angle R is 55 degrees.
What is the value of x?

Answer 1

We know that the sum of the measures of angle M and angle R equals 90 degrees. Given the measures:

• Angle M = \( 5x + 10 \) degrees
• Angle R = \( 55 \) degrees

We can set up the equation:

\[ (5x + 10) + 55 = 90 \]

Now, simplify the left side:

\[ 5x + 10 + 55 = 90 \] \[ 5x + 65 = 90 \]

Next, subtract 65 from both sides:

\[ 5x = 90 - 65 \] \[ 5x = 25 \]

Now, divide both sides by 5:

\[ x = \frac{25}{5} \] \[ x = 5 \]

Thus, the value of \( x \) is \( \boxed{5} \).