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7B - Angles at a Point, Real World Scenarios

Total questions: 10

Worksheet time: 50mins

Name
Class
Date
1.

Mason and Anika are studying geometry. They come across a diagram with two angles. They notice that these angles share a common vertex and a common side, but do not overlap. What term do Sophia, their tutor, use to describe these angles?

a)

Two angles that share a common vertex and overlap.

b)

Two angles that do not share a common vertex or side.

c)

Two angles that share a common side but not a common vertex.

d)

Two angles that share a common vertex and a common side, but do not overlap.

2.

Aria and Ava are working on a project where they need to create a model of a door hinge. They notice that when the door is fully open, the two angles formed by the door and the wall are adjacent and their measures add up to 180 degrees. What type of angles are they creating?

a)

Vertical angles

b)

Complementary angles

c)

Supplementary angles

d)

Alternate interior angles

3.

Abigail and Harper are working on a project where they need to create two adjacent angles using a protractor. They found that the measures of these two angles add up to 90 degrees. What type of angles have Abigail and Harper created?

a)

Complementary angles

b)

Alternate angles

c)

Vertical angles

d)

Supplementary angles

4.

Kai and Arjun are studying geometry. They come across a pair of angles and Kai says, 'These are complementary angles.' What does Kai mean by 'complementary angles'?

a)

Two angles whose sum is 270 degrees.

b)

Two angles whose sum is 90 degrees.

c)

Two angles whose sum is 45 degrees.

d)

Two angles whose sum is 180 degrees.

5.

Hannah and Mia are studying geometry. They learned that two angles are complementary if their measures add up to 90 degrees. If Hannah measures one angle as 45 degrees, what would be the measure of the other angle that Mia needs to find to make them complementary?

a)

30

b)

180

c)

45

d)

90

6.

Kai and Evelyn are working on a project where they need to create a right angle using two smaller angles. Kai creates an angle of 60 degrees. How many degrees should the angle created by Evelyn be, so that the two angles are complementary?

a)

45

b)

75

c)

30

d)

90

7.

Rohan and Elijah are studying geometry. They come across a pair of angles and Rohan says, 'These are supplementary angles.' What does he mean by supplementary angles?

a)

Two angles that add up to 90 degrees.

b)

Two angles that add up to 180 degrees.

c)

Two angles that add up to 270 degrees.

d)

Two angles that add up to 360 degrees.

8.

Maya and Liam are studying geometry. They learned that when two angles are supplementary, their measures add up to 180 degrees. If one of these angles measures 120 degrees, what would be the measure of the other angle?

a)

60

b)

180

c)

90

d)

30

9.

David and Grace are studying geometry. They learned that when two angles are supplementary, their measures add up to 180 degrees. If David measures one angle to be 150 degrees, what would be the measure of the other angle that Grace should find?

a)

30

b)

120

c)

60

d)

90

10.

Aria and Arjun are studying geometry. They find two angles that are adjacent to each other and their measures add up to 90 degrees. William asks, are these angles also complementary?

a)

Sometimes.

b)

No

c)

Yes.

d)

It depends.