Question

Quick Geometry Question:

1. A trapezoid has a 60-degree angle and a 45-degree angle. What are the other angles?

2. A trapezoid has a 60-degree angle and a 120-degree angle. What are the other angles?

Answer 1

1. 120 degrees and 135 degrees are the other 2 angles.2. 120 degrees and 60 degrees are the other 2 angles.

Answer 2

For trapezoids, we have some rules:

The angles always need to ad up to 360°

We also have that the base angles are suplementary, so they need to ad to 180°. (one smaller or equal than 90° and the other greater or equal than 90°)

Then, if the angles are one equal to 60° and the other 45°.

The other two angles are:

a1 = 180° - 60° = 120°

a2 = 180° - 45° = 135°

and now we have: 120° + 60° + 45° + 135° = 360°

for the other we have an angle of 60° and other of 120°.

This two angles can be one next to the other, so may be suplementary.

this mens that the other two angles may be any angles that add to 180° (again, one is less or equal than 90° and the other is greater or equal than 90°)

So we can have:

a1 = 110°

a2 = 70°

for example.