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 = 142°. Find ∠QPR.
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Question 2
An isosceles triangle has an angle of 72° between its two equal sides. Find one of the other angles.
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Question 3
In isosceles triangle ABC, AB = AC and ∠B = 58°. Find ∠A.
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Question 4
In isosceles triangle PQR, PQ = PR. Side QR is extended beyond R to S. ∠PRS = 104°. Find ∠QPR.
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Question 5
An isosceles triangle has an angle of 34° between its two equal sides. Find one of the other angles.
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Question 6
In isosceles triangle ABC, AB = AC and ∠B = 38°. Find ∠A.
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Question 7
In isosceles triangle PQR, PQ = PR. Side QR is extended beyond R to S. ∠PRS = 139°. Find ∠QPR.
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Question 8
An isosceles triangle has an angle of 128° between its two equal sides. Find one of the other angles.
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Question 9
In isosceles triangle ABC, AB = AC and ∠B = 37°. Find ∠A.
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Question 10
In isosceles triangle PQR, PQ = PR. Side QR is extended beyond R to S. ∠PRS = 106°. Find ∠QPR.
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Question 11
An isosceles triangle has an angle of 154° between its two equal sides. Find one of the other angles.
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Question 12
In isosceles triangle ABC, AB = AC and ∠B = 29°. Find ∠A.
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Question 13
In isosceles triangle PQR, PQ = PR. Side QR is extended beyond R to S. ∠PRS = 104°. Find ∠QPR.
Answer
Question 14
An isosceles triangle has an angle of 34° between its two equal sides. Find one of the other angles.
Answer
Question 15
In isosceles triangle ABC, AB = AC and ∠B = 57°. Find ∠A.
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Question 16
In isosceles triangle PQR, PQ = PR. Side QR is extended beyond R to S. ∠PRS = 139°. Find ∠QPR.
Answer
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