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Lesson Example Discussion Quiz: Class Homework

Step-2

Title: Angles

Grade: 6-a Lesson: S2-L4

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

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Two angles are supplementary, and the larger angle is three times the measure of the smaller angle. Find the measures of both angles.
2	Step	Let’s call the measure of the smaller angle	x°
3	Step	The larger angle is three times the measure of the smaller angle	3x°
4	Step	Now, since the two angles are supplementary, their measures add up to 180 degrees:	x + 3x = 180
5	Step	After simplification	4x = 180
6	Step	Divide 4 on both sides	\$(4x)/4\$ = \$180/4\$ ⇒ x = 45
7	Step	The measure of the smaller angle is 35°.
8	Step	The measure of the larger angle is three times	3x = \$3 \times 45\$ = 135°
9	Step	The smaller angle measures 45°, and the larger angle measures 135°.
10	SumUp	Can you summarize what you’ve understood in the above steps?
11	Choice.A	These angles do not satisfy the condition that the larger angle is three times the measure of the smaller angle	45° and 153°
12	Choice.B	This is correct because it satisfies both the condition of supplementary angles and the relationship between the larger and smaller angles	45° and 135°
13	Choice.C	These angles do not satisfy the condition that the larger angle is three times the measure of the smaller angle	54° and 135°
14	Choice.D	These angles do not satisfy the condition that the larger angle is three times the measure of the smaller angle	54° and 153°
15	Answer	Option	B
16	SumUp	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

Two angles are supplementary, and the larger angle is three times the measure of the smaller angle. Find the measures of both angles.

Step

Let’s call the measure of the smaller angle

x°

Step

The larger angle is three times the measure of the smaller angle

3x°

Step

Now, since the two angles are supplementary, their measures add up to 180 degrees:

x + 3x = 180

Step

After simplification

4x = 180

Step

Divide 4 on both sides

\$(4x)/4\$ = \$180/4\$

⇒ x = 45

Step

The measure of the smaller angle is 35°.

Step

The measure of the larger angle is three times

3x = \$3 \times 45\$ = 135°

Step

The smaller angle measures 45°, and the larger angle measures 135°.

SumUp

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

Choice.A

These angles do not satisfy the condition that the larger angle is three times the measure of the smaller angle

45° and 153°

Choice.B

This is correct because it satisfies both the condition of supplementary angles and the relationship between the larger and smaller angles

45° and 135°

Choice.C

These angles do not satisfy the condition that the larger angle is three times the measure of the smaller angle

54° and 135°

Choice.D

These angles do not satisfy the condition that the larger angle is three times the measure of the smaller angle

54° and 153°

Answer

Option

SumUp

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