Use the exterior angle of a triangle
8th grade (Year 9 in England) · 16 questions · Common Core: 8.G.A.5 · England: KS3 Geometry and measures, GCSE Foundation Geometry and measures
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Question 1
In a triangle the two opposite interior angles are (x + 2)° and (2x + 2)°. The exterior angle is 58°. Find x.
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Question 2
An exterior angle of a triangle is 61°. One of the two opposite interior angles is 31°. Find the other opposite interior angle.
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Question 3
In a triangle the two opposite interior angles are (x + 5)° and (2x + 19)°. The exterior angle is 63°. Find x.
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Question 4
An exterior angle of a triangle is 101°. One of the two opposite interior angles is 46°. Find the other opposite interior angle.
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Question 5
In a triangle the two opposite interior angles are (x + 5)° and (2x + 11)°. The exterior angle is 73°. Find x.
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Question 6
An exterior angle of a triangle is 125°. One of the two opposite interior angles is 66°. Find the other opposite interior angle.
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Question 7
In a triangle the two opposite interior angles are (x + 12)° and (2x + 16)°. The exterior angle is 118°. Find x.
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Question 8
An exterior angle of a triangle is 123°. One of the two opposite interior angles is 80°. Find the other opposite interior angle.
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Question 9
In a triangle the two opposite interior angles are (x + 11)° and (2x + 6)°. The exterior angle is 95°. Find x.
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Question 10
An exterior angle of a triangle is 142°. One of the two opposite interior angles is 53°. Find the other opposite interior angle.
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Question 11
In a triangle the two opposite interior angles are (x + 19)° and (2x + 4)°. The exterior angle is 74°. Find x.
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Question 12
An exterior angle of a triangle is 101°. One of the two opposite interior angles is 34°. Find the other opposite interior angle.
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Question 13
In a triangle the two opposite interior angles are (x + 13)° and (2x + 3)°. The exterior angle is 76°. Find x.
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Question 14
An exterior angle of a triangle is 153°. One of the two opposite interior angles is 75°. Find the other opposite interior angle.
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Question 15
In a triangle the two opposite interior angles are (x + 12)° and (2x + 12)°. The exterior angle is 90°. Find x.
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Question 16
An exterior angle of a triangle is 92°. One of the two opposite interior angles is 25°. Find the other opposite interior angle.
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