Add and subtract angles that share a vertex

Question 1

A fan is opened so that 3 equal sections of 30° sit side by side. What angle does the open fan make?

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Question 2

Angle ABD is 60° and angle DBC is 17°. They sit side by side to make angle ABC. What is angle ABC?

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Question 3

Angle PQR is 90°. Ray QS splits it into two angles. Angle PQS is 14°. What is angle SQR?

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Question 4

A fan is opened so that 6 equal sections of 20° sit side by side. What angle does the open fan make?

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Question 5

Angle ABD is 63° and angle DBC is 81°. They sit side by side to make angle ABC. What is angle ABC?

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Question 6

Angle PQR is 100°. Ray QS splits it into two angles. Angle PQS is 21°. What is angle SQR?

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Question 7

A fan is opened so that 5 equal sections of 25° sit side by side. What angle does the open fan make?

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Question 8

Angle ABD is 31° and angle DBC is 89°. They sit side by side to make angle ABC. What is angle ABC?

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Question 9

Angle PQR is 90°. Ray QS splits it into two angles. Angle PQS is 49°. What is angle SQR?

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Question 10

A fan is opened so that 3 equal sections of 30° sit side by side. What angle does the open fan make?

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Question 11

Angle ABD is 76° and angle DBC is 58°. They sit side by side to make angle ABC. What is angle ABC?

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Question 12

Angle PQR is 100°. Ray QS splits it into two angles. Angle PQS is 50°. What is angle SQR?

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Question 13

A fan is opened so that 6 equal sections of 10° sit side by side. What angle does the open fan make?

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Question 14

Angle ABD is 72° and angle DBC is 48°. They sit side by side to make angle ABC. What is angle ABC?

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Question 15

Angle PQR is 120°. Ray QS splits it into two angles. Angle PQS is 94°. What is angle SQR?

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Question 16

A fan is opened so that 4 equal sections of 10° sit side by side. What angle does the open fan make?

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