Find angles in isosceles triangles
10th grade (Year 11 in England) · 16 questions · Common Core: HSG.CO.C.10 · England: GCSE Foundation Geometry
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Question 1
In isosceles triangle PQR, PQ = PR. Side QR is extended beyond R to S. ∠PRS = 113°. Find ∠QPR.
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Question 2
In isosceles triangle ABC, AB = AC and ∠B = 70°. Find ∠A.
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Question 3
An isosceles triangle has an angle of 68° between its two equal sides. Find one of the other angles.
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Question 4
In isosceles triangle PQR, PQ = PR. Side QR is extended beyond R to S. ∠PRS = 144°. Find ∠QPR.
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Question 5
In isosceles triangle ABC, AB = AC and ∠B = 59°. Find ∠A.
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Question 6
An isosceles triangle has an angle of 84° between its two equal sides. Find one of the other angles.
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Question 7
In isosceles triangle PQR, PQ = PR. Side QR is extended beyond R to S. ∠PRS = 142°. Find ∠QPR.
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Question 8
In isosceles triangle ABC, AB = AC and ∠B = 34°. Find ∠A.
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Question 9
An isosceles triangle has an angle of 94° between its two equal sides. Find one of the other angles.
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Question 10
In isosceles triangle PQR, PQ = PR. Side QR is extended beyond R to S. ∠PRS = 124°. Find ∠QPR.
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Question 11
In isosceles triangle ABC, AB = AC and ∠B = 25°. Find ∠A.
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Question 12
An isosceles triangle has an angle of 148° between its two equal sides. Find one of the other angles.
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Question 13
In isosceles triangle PQR, PQ = PR. Side QR is extended beyond R to S. ∠PRS = 100°. Find ∠QPR.
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Question 14
In isosceles triangle ABC, AB = AC and ∠B = 75°. Find ∠A.
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Question 15
An isosceles triangle has an angle of 68° between its two equal sides. Find one of the other angles.
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Question 16
In isosceles triangle PQR, PQ = PR. Side QR is extended beyond R to S. ∠PRS = 111°. Find ∠QPR.
Answer
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