McGraw Hill Math Grade 6 Lesson 22.2 Answer Key Types of Angles

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Practice questions available in McGraw Hill Math Grade 6 Answer Key PDF Lesson 22.2 Types of Angles will engage students and is a great way of informal assessment.

McGraw-Hill Math Grade 6 Answer Key Lesson 22.2 Types of Angles

Exercises

IDENTIFY

Question 1.
Are the two angles shown below supplementary?
McGraw Hill Math Grade 6 Lesson 22.2 Answer Key Types of Angles 1
Answer:
Two angles are called supplementary when their measures add up to 180 degrees.
40 + 140 = 180 degrees
Hence the angles shown in the above figure is supplementary.

Question 2.
Are the two angles below complementary?
McGraw Hill Math Grade 6 Lesson 22.2 Answer Key Types of Angles 2
Answer:
When the sum of two angles is equal to 90 degrees, they are called complementary angles.
25 + 65 = 90 degrees
Hence the angles shown in the above figure is complementary.

Question 3.
Are the two angles A and B supplementary?
McGraw Hill Math Grade 6 Lesson 22.2 Answer Key Types of Angles 3
Answer:
Two angles are called supplementary when their measures add up to 180 degrees.
The sum of the two angles is 180 degrees.

Question 4.
Are the two angles supplementary?
McGraw Hill Math Grade 6 Lesson 22.2 Answer Key Types of Angles 4
Answer: No the angles are not supplementary.

Question 5.
Are the two angles CFD and DFE complementary? Why, or why not?
McGraw Hill Math Grade 6 Lesson 22.2 Answer Key Types of Angles 5
Answer: Yes, two angles CFD and DFE complementary. Because the sum of the two angles is complementary.

Question 6.
Name the two angles below, and determine if they are supplementary.
McGraw Hill Math Grade 6 Lesson 22.2 Answer Key Types of Angles 6
Answer:
Two angles are called supplementary when their measures add up to 180 degrees.

Question 7.
Determine if the two angles are complementary.
McGraw Hill Math Grade 6 Lesson 22.2 Answer Key Types of Angles 7
Answer:
When the sum of two angles is equal to 90 degrees, they are called complementary angles.
58 + 32 = 90 degrees
Hence the angles shown in the above figure are complementary.

Question 8.
What size angle would you have to add to make this a right angle?
McGraw Hill Math Grade 6 Lesson 22.2 Answer Key Types of Angles 8
Answer:
Given angle = 30
Right angle = 90 degrees
30 + x = 90
x = 90 – 30
x = 60
So to make this a right angle we have to add 60 degrees.

Question 9.
In the figure below, list three sets of vertical angles.
McGraw Hill Math Grade 6 Lesson 22.2 Answer Key Types of Angles 9
Answer:
There are two pairs of vertical angles with intersecting lines, they are across from each other.
∠2 and ∠4
∠1 and ∠3
∠3 and ∠5
∠4 and ∠6
∠6 and ∠8
∠5 and ∠7

Question 10.
Of the angles labeled below, which ones are supplementary?
McGraw Hill Math Grade 6 Lesson 22.2 Answer Key Types of Angles 10
Answer:
∠5 and ∠2 are the supplementary angles.
Because the sum of two angles is 180 degrees.

Question 11.
List two pairs of vertical angles in the figure.
McGraw Hill Math Grade 6 Lesson 22.2 Answer Key Types of Angles 11
Answer:
There are two pairs of vertical angles with intersecting lines, they are across from each other.
∠2 and ∠4
∠1 and ∠3

Question 12.
What type of angles are C and B?
McGraw Hill Math Grade 6 Lesson 22.2 Answer Key Types of Angles 12
Answer:
∠C and ∠B are the supplementary angles.

Question 13.
List two pairs of vertical angles in the figure below.
McGraw Hill Math Grade 6 Lesson 22.2 Answer Key Types of Angles 13
Answer:
∠ABD and ∠CBE are the vertical angles.

Question 14.
What are the two angles in the figure below? Are the angles complementary? Assume that angle ACB is 90 degrees.
McGraw Hill Math Grade 6 Lesson 22.2 Answer Key Types of Angles 14
Answer:
The above figure is a right angle.
When the sum of two angles is equal to 90 degrees, they are called complementary angles.
Hence the angles shown in the above figure is complementary.

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