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Angle Problems
To get credit you must show all the required steps.
1. The sum of two angles is 132 degrees. Angle A is 10 degrees more than Angle B. Find the
measure of both angles.
∠ B is mentioned second so ∠ B = x
∠ A = x + 10
10 degrees more than ∠ B (x)
The total of the 2 angles (x + x + 10) is equal to 132
2x + 10 = 132
2x = 122
x = 61
and
∠ B = 61
∠A = 61 + 10 = 71
∠ B is 35 degrees and ∠ A is 85 degrees
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4. The sum of three angles is 152 degrees. Angle A is 18 degrees less than Angle B. Angle C is
30 degrees less than twice as large as Angle B. Find the measure of all 3 angles.
∠ B is mentioned second so ∠ B = x
∠ A = x – 18
∠ C = 2x – 30
18 degrees less than ∠ B (x)
30 degrees less than twice as large as ∠ B (x)
The total of the 3 angles (x + x − 18 + 2x − 30) is equal to 152
4 x − 48 = 152
4 x = 200
x = 50
and
∠ B = 50
∠A = 50 − 18 = 32
∠C = 2 • 50 − 30 = 70
∠ B is 50 degrees , ∠ A is 32 degrees
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and ∠ C is 70 degrees
Chapter 9 page 20 and 30!
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