Question :
The sum of the measure of angle M and angle R is 90°.
- The measure of angle m is (5x + 10)°.
- The measure of angle R is 55°.
What is the value of x?
Answer :
Explanation :
Given :
- ∠M + ∠R = 90°
- ∠M = (5x + 10)°
- ∠R = 55°
To Find :
Solution :
We are given :
- Value of ∠M = (5x + 10)°
- Value of ∠R = 55°
So, by substituting value of ∠M and ∠R in ∠M + ∠R = 90°, we have :
[tex] \sf : \implies (5x + 10)\degree + 55 \degree = 90\degree[/tex]
[tex] \sf : \implies 5x + 10 + 55 = 90\degree[/tex]
[tex] \sf : \implies 5x + 65 = 90\degree[/tex]
[tex] \sf : \implies 5x = 90\degree - 65 \degree[/tex]
[tex] \sf : \implies 5x = 25\degree[/tex]
[tex] \sf : \implies x = \cancel{\dfrac{25\degree}{5}}[/tex]
[tex] \sf : \implies x = 5\degree[/tex]
[tex] \Large \underline{\boxed{\tt{x = 5\degree}}}[/tex]
Hence, value of x is 5°.
