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Lesson Example Discussion Quiz: Class Homework

Step-2

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	Find the angle labelled c in the following triangle.
2	Clue	The sum of angles in a triangle is 180°.
3	Hint	The given image is an isosceles triangle, which means that two of its sides are equal in length and two of its angles are equal in measure.
4	Step	The given angle is	59°
5	Step	Now we find third angle	⇒ 59° + 59° + x = 180° ⇒ 118° + x = 180°
6	Step	Subtract 118° on both sides	⇒ x + 118° - 118° = 180° - 118° ⇒ x = 62°
7	Step	The measure of the third angle is 62 degrees.
8	SumUp	Can you summarize what you’ve understood in the above steps?
9	Choice.A	This is not correct because it does not satisfy the conditions of the problem and the calculations performed	24°
10	Choice.B	This is not correct because it does not satisfy the conditions of the problem and the calculations performed	26°
11	Choice.C	This is not correct because it does not satisfy the conditions of the problem and the calculations performed	60°
12	Choice.D	This is correct because that’s the value you found for the measure of the third angle in the triangle.	62°
13	Answer	Option	D
14	SumUp	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

Find the angle labelled c in the following triangle.

Clue

The sum of angles in a triangle is 180°.

Hint

The given image is an isosceles triangle, which means that two of its sides are equal in length and two of its angles are equal in measure.

Step

The given angle is

59°

Step

Now we find third angle

⇒ 59° + 59° + x = 180°

⇒ 118° + x = 180°

Step

Subtract 118° on both sides

⇒ x + 118° - 118° = 180° - 118°

⇒ x = 62°

Step

The measure of the third angle is 62 degrees.

SumUp

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

Choice.A

This is not correct because it does not satisfy the conditions of the problem and the calculations performed

24°

Choice.B

This is not correct because it does not satisfy the conditions of the problem and the calculations performed

26°

Choice.C

This is not correct because it does not satisfy the conditions of the problem and the calculations performed

60°

Choice.D

This is correct because that’s the value you found for the measure of the third angle in the triangle.

62°

Answer

Option

SumUp

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