Math Problem Statement
owanda 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 ?
Solution
We are given that the sum of angles and is , and the measures of the angles are:
- Angle
- Angle
The equation based on the sum of the angles is:
Substituting the given values:
Now, solve for :
Simplify the equation:
Subtract 65 from both sides:
Finally, divide by 5:
Thus, the value of is .
Would you like further details on this solution?
Here are 5 related questions to practice:
- If angle and angle , what is ?
- What are complementary angles, and how do they relate to this problem?
- If angle and angle , find .
- How would the solution change if the sum of the angles was instead of ?
- If angle increases by , what happens to the value of ?
Tip: Always double-check your equation by substituting the solution back into the original problem to verify your results.
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Math Problem Analysis
Mathematical Concepts
Algebra
Complementary Angles
Linear Equations
Formulas
Angle Sum Formula: M + R = 90°
Theorems
Complementary Angles Theorem
Suitable Grade Level
Grades 6-8
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