Question

The sum of the measures 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? Record your answer. Be sure to use the correct place value. B I UE E х, х? KY

Answer 1

Given data:

The given angle M is ∠M=(5x+10)°.

The given angle R is ∠R=55°.

The expression for the sum of both the angles is,

$\angle M+\angle R=90^{\circ}$

Substitute the given values in the above expression.

$\begin{gathered} (5x+10)^{\circ}+55^{\circ}=90^{\circ} \\ 5x=25^{\circ} \\ x=5^{\circ} \end{gathered}$

Thus, the value of x is 5 degrees.