Question

What is the value of angle x in the figure? Please show your math work step by step

and don’t forget the unit.

Answer 1

x = 17°

Explanation:

Supplementary angles are angles that add together to form 180°, aka a straight line.

Supplementary Angles
For the question, let the angle in the top left with a square in the vertex be angle 1. Let the angle in the top right formed by x° + 73° be angle 2. In the image, there is a square at the vertex of angle 1. This is used to show that the angle is a right angle. This means that angle 1 has a measure of 90°.

Supplementary angles come together to form a straight line. By looking at the diagram, we can tell that angles 1 and 2 form a straight line and thus are supplementary.

Solving for x

We know that angle 1 plus angle 2 will equal 180° since they are supplementary. We can use this information to set up an equation.

• 90° + (73° + x°) = 180°

By plugging in the information we know, we can find the unknown value.

• x° = 17°

This means that the unknown angle is 17 degrees.