Solve for x using the angle sum 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
The angles of a triangle are (3x + 19)°, (2x − 10)° and (x − 27)°. Find x.
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Question 2
In a triangle, one angle is 102°, another is (2x + 12)° and the third is (x + 21)°. What is the size of the largest angle?
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Question 3
The angles of a triangle are (3x + 5)°, (x + 22)° and (2x − 21)°. Find x.
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Question 4
In a triangle, one angle is 92°, another is (2x − 1)° and the third is (x + 29)°. What is the size of the largest angle?
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Question 5
The angles of a triangle are (3x − 5)°, (2x − 1)° and (3x + 50)°. Find x.
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Question 6
In a triangle, one angle is 91°, another is (2x + 18)° and the third is (x + 11)°. What is the size of the largest angle?
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Question 7
The angles of a triangle are (x − 1)°, (4x + 13)° and (x + 102)°. Find x.
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Question 8
In a triangle, one angle is 113°, another is (2x − 3)° and the third is (x + 16)°. What is the size of the largest angle?
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Question 9
The angles of a triangle are (2x + 5)°, (4x + 16)° and (x + 19)°. Find x.
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Question 10
In a triangle, one angle is 65°, another is (2x + 10)° and the third is (x + 21)°. What is the size of the largest angle?
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Question 11
The angles of a triangle are (x + 8)°, (2x + 25)° and (2x − 18)°. Find x.
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Question 12
In a triangle, one angle is 38°, another is (2x + 15)° and the third is (x + 28)°. What is the size of the largest angle?
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Question 13
The angles of a triangle are (3x + 11)°, (x + 22)° and (2x + 9)°. Find x.
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Question 14
In a triangle, one angle is 124°, another is (2x + 6)° and the third is (x + 5)°. What is the size of the largest angle?
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Question 15
The angles of a triangle are (2x + 1)°, (2x + 21)° and (2x − 28)°. Find x.
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Question 16
In a triangle, one angle is 78°, another is (2x − 5)° and the third is (x + 14)°. What is the size of the largest angle?
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