Common Core HSG.CO.C.10 worksheet

Question 1

In isosceles triangle PQR, PQ = PR. Side QR is extended beyond R to S. ∠PRS = 117°. Find ∠QPR.

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Question 2

In a triangle, one angle is 93°, another is (2x + 19)° and the third is (x + 29)°. What is the size of the largest angle?

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Question 3

An exterior angle of a triangle is (4x + 16)°. The two opposite interior angles are 2x° and 74°. Find x.

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Question 4

A triangle has interior angles 20° and 23°. One side is extended at the third vertex. What is the exterior angle there?

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Question 5

In isosceles triangle ABC, AB = AC and ∠B = 35°. Find ∠A.

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Question 6

An isosceles triangle has an angle of 142° between its two equal sides. Find one of the other angles.

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Question 7

The angles of a triangle are (3x − 6)°, (x − 10)° and (3x + 70)°. Find x.

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Question 8

In isosceles triangle PQR, PQ = PR. Side QR is extended beyond R to S. ∠PRS = 136°. Find ∠QPR.

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Question 9

In a triangle, one angle is 64°, another is (2x + 8)° and the third is (x + 9)°. What is the size of the largest angle?

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Question 10

An exterior angle of a triangle is (2x + 20)°. The two opposite interior angles are x° and 41°. Find x.

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Question 11

An exterior angle of a triangle is 87°. One of the two opposite interior angles is 42°. Find the other.

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Question 12

In isosceles triangle ABC, AB = AC and ∠B = 36°. Find ∠A.

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Question 13

An isosceles triangle has an angle of 156° between its two equal sides. Find one of the other angles.

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Question 14

The angles of a triangle are (2x + 14)°, (2x + 10)° and (3x − 47)°. Find x.

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Question 15

In isosceles triangle PQR, PQ = PR. Side QR is extended beyond R to S. ∠PRS = 118°. Find ∠QPR.

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Question 16

In a triangle, one angle is 129°, another is (2x − 10)° and the third is (x + 1)°. What is the size of the largest angle?

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