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 $\boxed{{\displaystyle 5}}$.