Question

Suppose two angles in a coordinate plane, one measuring 80° and the other measuring 160°, were both rotated 180° about the origin and then

translated 40 units down. Which of these would be a measure of one of the resulting angles? Select all that apply

Answer 1

120 and 40

Explanation:

Given

`\angle 1 = 160`

`\angle 2 = 80`

Rotation = 180 degrees

Translation = 40 units down

Required

A measure of the resulting angles

180 degrees rotation

Rotation only affects the positioning of angles and does not change the measure of the angles.

So, the measure of both angles remain unchanged.

40 units down translation

This will reduce the measure of both angles by 40 degrees.

So:

`\angle 1 = 160 - 40 = 120`

`\angle 2 = 80 - 40 = 40`