Question

Find the missing angle measurement.

A. 63 degrees
B. 73 degrees
C. 90 degrees
D. 153 degrees

Answer 1

63 degrees

Explanation:

Answer 2

To find the missing angle measurement, we will use the Angle Sum Property to create an algebraic equation that can solve for a missing angle given two angles in a right triangle.

Create an Equation

We are given an angle of 27º and 90º (refer to the square in the bottom right-hand corner.

We know that all of the angles in a triangle must add up to 180º using the Angle Sum Property.

Create an equation to find the missing value.

`27 + 90 + x = 180`

Combine Like Terms

Combine the constants on the left side of the equation.

`27 + 90 + x = 180`

`117 + x = 180`

Subtract

Subtract 117 from both sides of the equation.

`117 - 117 + x = 180 - 117`

`\boxed{x = 63}`

The final answer is x = 63º.