Question

Measure of Pairs of Angles: Calculate the measure for

160 degrees
or
20 degrees
or
180 degrees
or
90 degrees

Answer 1

The remaining angles are 20°, 160° and 20°

Explanation:

Since a circle has 360° and one angle is know, the remaining angles can be found.

Angle U = 160° and the angle in the opposite side must be equal to Angle U so the angle opposite to U is 160° as well.

The remaining two angles are equal to each other and since the total degrees must be 360° and 2 angles are known, we can solve for the remaining angles.

Let's say the remaining angles are values "x".

360° must equals 160° + 160° + x + x

360 = 160 + 160 + x + x

360 = 320 + 2x

40 = 2x

x = 20

The remaining two angles are 20°

Answer 2

The angle vertical to 160 is also 160.

So you have 320

You have 320 out of a full circle, 360.

If there's two angles left, equal to each other

Then they each would be 20 degrees.

I'm not sure what you tried to solve for but I guess this is a simple rundown of the image.