Step-3

Title: Angles

Grade: 6-a Lesson: S2-L3

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step Type Explanation Answer

1

Problem

In a triangle, XYZ, the measure of ∠X is 70°, and the measure of ∠Y is 36°. Find the measure of ∠Z.

2

Clue

The sum of angles in a triangle is 180°.

3

Step

The measure of ∠X and ∠Y

70° and 36°

4

Step

Now, we find the ∠z

⇒ ∠X + ∠Y + ∠Z = 180°

⇒ 70° + 36° + ∠Z = 180°

⇒ 106° + ∠Z = 180°

5

Step

Subtract 106° on both sides

⇒ 106° - 106° + ∠Z = 180° - 106°

⇒ ∠Z = 74°

6

Step

The measure of ∠Z is 74°.

7

SumUp

Can you summarize what you’ve understood in the above steps?

8

Choice.A

This is not correct because it does not satisfies the equation

47°

9

Choice.B

This is not correct because it does not satisfies the equation

58°

10

Choice.C

This is correct because it satisfies the equation

74°

11

Choice.D

This is not correct because it does not satisfies the equation

96°

12

Answer

Option

C

13

SumUp

Can you summarize what you’ve understood in the above steps?


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