Towanda has angle M
 and angle R
. Their sum is 90°
.

• The measure of angle M
 is (5x+10)°
.
• The measure of angle R
 is 55°
.

What is the value of x
?
A.90

B.5

C.25

D.35


Given that angles \( M \) and \( R \) are complementary (sum to 90°), we can set up an equation:

1. **Sum of Angles**:
   \[
   M + R = 90^\circ
   \]

2. **Substitute the Expressions for Each Angle**:
   \[
   (5x + 10) + 55 = 90
   \]

3. **Combine Terms**:
   \[
   5x + 65 = 90
   \]

4. **Isolate \( x \)**:
   \[
   5x = 90 - 65
   \]
   \[
   5x = 25
   \]

5. **Solve for \( x \)**:
   \[
   x = \frac{25}{5} = 5
   \]

So, the correct answer is:
**B. 5**

Would you like further explanation or have questions about complementary angles?

Here are some related questions you might consider:
1. How would the equation change if angle \( R \) was given as a different measure?
2. What would happen if the angles were supplementary (sum to 180°) instead?
3. How do we know if two angles are complementary based on their measures?
4. How would you solve if angle \( M \) had a different expression, like \( 3x + 20 \)?
5. What steps can you take to verify your answer in complementary angle problems?

**Tip**: In complementary angle problems, always remember that their sum is exactly 90°.

Towanda has angle M and angle R. Their sum is 90°. The measure of angle M is (5x+10)°. The measure of angle R is 55°. What is the value of x? A.90 B.5 C.25 D.35

Explore how to find the value of x when two angles, M and R, are complementary with a sum of 90°. Angle M is represented by (5x+10)° and angle R is 55°. Detailed solution for middle school students covering algebraic equations and complementary angle theorems.

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