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.35


Since the sum of angles \( M \) and \( R \) is 90°, we can set up an equation based on the information given:

1. Let the measure of angle \( M \) be \( (5x + 10)^\circ \).
2. The measure of angle \( R \) is \( 55^\circ \).
3. Since the sum of these angles is 90°, we have:

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

### Step-by-Step Solution
1. Simplify the equation by combining like terms:
   \[
   5x + 65 = 90
   \]

2. Subtract 65 from both sides:
   \[
   5x = 25
   \]

3. Divide both sides by 5:
   \[
   x = 5
   \]

### Conclusion
The value of \( x \) is **5**. 

Would you like further explanation on any steps, or have any other questions?

---

Here are 5 questions related to this problem to explore further:
1. What would be the measure of angle \( M \) once \( x \) is known?
2. If angle \( R \) was 60° instead of 55°, how would that affect \( x \)?
3. What is the definition of complementary angles?
4. How would you solve for \( x \) if angle \( M \) was \( (5x - 10)^\circ \) instead?
5. How can you verify that two angles add up to a complementary pair?

**Tip:** When dealing with complementary angles, always check that the angle measures add up to 90° to confirm calculations.

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?

Learn how to find the value of x when angle M is (5x + 10)° and angle R is 55°, and their sum is 90°. This problem covers complementary angles and algebra, suitable for students in Grades 6-8.

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