Use the exterior angle of a triangle
10th grade (Year 11 in England) · 16 questions · Common Core: HSG.CO.C.10, 8.G.A.5 · England: GCSE Foundation Geometry
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Question 1
An exterior angle of a triangle is 75°. One of the two opposite interior angles is 29°. Find the other.
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Question 2
An exterior angle of a triangle is (2x + 13)°. The two opposite interior angles are x° and 42°. Find x.
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Question 3
An exterior angle of a triangle is 111°. One of the two opposite interior angles is 39°. Find the other.
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Question 4
An exterior angle of a triangle is (4x + 16)°. The two opposite interior angles are 3x° and 29°. Find x.
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Question 5
An exterior angle of a triangle is 127°. One of the two opposite interior angles is 79°. Find the other.
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Question 6
An exterior angle of a triangle is (2x + 3)°. The two opposite interior angles are x° and 19°. Find x.
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Question 7
A triangle has interior angles 74° and 46°. One side is extended at the third vertex. What is the exterior angle there?
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Question 8
An exterior angle of a triangle is (4x + 11)°. The two opposite interior angles are x° and 98°. Find x.
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Question 9
An exterior angle of a triangle is 77°. One of the two opposite interior angles is 21°. Find the other.
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Question 10
An exterior angle of a triangle is (3x + 12)°. The two opposite interior angles are x° and 52°. Find x.
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Question 11
A triangle has interior angles 60° and 22°. One side is extended at the third vertex. What is the exterior angle there?
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Question 12
An exterior angle of a triangle is (3x + 20)°. The two opposite interior angles are 2x° and 40°. Find x.
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Question 13
A triangle has interior angles 21° and 36°. One side is extended at the third vertex. What is the exterior angle there?
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Question 14
An exterior angle of a triangle is (3x + 9)°. The two opposite interior angles are 2x° and 30°. Find x.
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Question 15
A triangle has interior angles 27° and 66°. One side is extended at the third vertex. What is the exterior angle there?
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Question 16
An exterior angle of a triangle is (4x − 7)°. The two opposite interior angles are x° and 59°. Find x.
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