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.