Question

The sum of the measures of angle M and angle R is 90 degrees.
* 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 \( \boxed{5} \).