Practice Exterior Angle Theorem (3.2) - Properties of Triangles - IB 10 Mathematics

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11 questions

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6 questions · about 4 min · pass mark 70%. Hints available.
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5 questions · about 3 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What is the exterior angle at vertex A if the interior angles ∠B = 45° and ∠C = 55°?
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Use the sum of the two opposite interior angles.
Question 2.
If one interior angle of a triangle is 30°, what can be one possible measure of the exterior angle?
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Use the relationship between interior angles and the straight angle.
3Question 3.
What does the Exterior Angle Theorem state?
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Recall the relationship between exterior and interior angles.
4Question 4.
If ∠A = 30° and ∠B = 70°, what is the exterior angle at C?
- 100°
- 90°
- 130°
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Add the measures of ∠A and ∠B together.
Question 5.
In triangle PQR, if ∠P = 45° and ∠Q = 85°, what is the measure of the exterior angle at vertex R?
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Add the measures of ∠P and ∠Q.
Question 6.
Using the Exterior Angle Theorem, demonstrate how to prove triangle similarity when one triangle has two angles equal to another's angles.
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Think about using the corresponding angles.

7 more questions in this section. Enroll free to practise them all.