Mathematics Grade 10 45 min

Exterior Angle Inequality

Tutorial Preview

1

Which is larger: an exterior angle or a remote interior angle?

2

Identifying the remote interior angles.

3

Using the theorem to solve for x.

Sample Practice Questions

Easy
An exterior angle of a triangle is 100°. A remote interior angle is 80°. Which is greater?
0.Exterior
1.Interior
2.Equal
3.Can't tell
Easy
In triangle XYZ, side YZ is extended to point W. Which are the remote interior angles to the exterior angle ∠XZW?
0.∠X and ∠Y
1.∠X and ∠Z
2.∠Y and ∠Z
3.∠X and ∠W
Easy
An exterior angle is (2x + 5)° and a remote interior angle is 35°. Which inequality is correct?
0.2x + 5 < 35
1.2x + 5 > 35
2.2x + 5 = 35
3.2x > 40

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