Question

The sum of the measures of angle M and R are complemetary. The measure of the angle M is (5×+90). The measre of angle R is 55. What is the value of x?

Answer 1

The value of x is - 11

Explanation:

Given as :

∠ M = (5x +90) °

∠ R = 55°

The sum of measure of angle M and R are complementary

Complementary Angle are those when sum of two angle equal to 90°

∵ Angle M and R are complementary in nature

∴ ∠ M + ∠ R = 90°

Or, (5x +90) ° + 55° = 90°

Or, 5x = 90° - 90° - 55°

Or, 5x = - 55°

∴ x = -
`(55)/(5)` = - 11

Hence the value of x is - 11 Answer