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Lesson Example Discussion Quiz: Class Homework

Step-5

Title: Angles

Grade: 1300-a Lesson: S3-L8

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

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Find the measures of two supplementary angles. The larger angle is 3 times the measure of the smaller angle. What are the steps of both angles?
2	Step	Let x be the measure of the smaller angle. Then the larger angle is 3x.
3	Step	Since the two angles are supplementary, we have	x + 3x = 180°
4	Step	Now, we can solve for "x" to find the measure of the smaller angle	4x = 180°
5	Step	Divide both sides by 4	x = \$180/4\$ = 45°
6	Step	So, the smaller angle measures 45 degrees.
7	Step	Now, to find the measure of the larger angle, which is 3 times the smaller angle, we simply multiply "x" by 3	3x = \$3 \times 45\$ = 135°
8	Step	Therefore, the two supplementary angles are 45° and 135°.
9	SumUp	Can you summarize what you’ve understood in the above steps?
10	Choice.A	The sum of these angles is 275°, not 180°, so this option is incorrect	130°, 145°
11	Choice.B	The sum of these angles is 55°, not 180°, so this option is incorrect	30°, 25°
12	Choice.C	The sum of these angles is 196°, not 180°, so this option is incorrect	100°, 96°
13	Choice.D	It is correct because larger angle is 3 times the smaller angle and the sum is 180°	45°, 135°
14	Answer	Option	D
15	SumUp	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

Find the measures of two supplementary angles. The larger angle is 3 times the measure of the smaller angle. What are the steps of both angles?

Step

Let x be the measure of the smaller angle. Then the larger angle is 3x.

Step

Since the two angles are supplementary, we have

x + 3x = 180°

Step

Now, we can solve for "x" to find the measure of the smaller angle

4x = 180°

Step

Divide both sides by 4

x = \$180/4\$ = 45°

Step

So, the smaller angle measures 45 degrees.

Step

Now, to find the measure of the larger angle, which is 3 times the smaller angle, we simply multiply "x" by 3

3x = \$3 \times 45\$ = 135°

Step

Therefore, the two supplementary angles are 45° and 135°.

SumUp

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

Choice.A

The sum of these angles is 275°, not 180°, so this option is incorrect

130°, 145°

Choice.B

The sum of these angles is 55°, not 180°, so this option is incorrect

30°, 25°

Choice.C

The sum of these angles is 196°, not 180°, so this option is incorrect

100°, 96°

Choice.D

It is correct because larger angle is 3 times the smaller angle and the sum is 180°

45°, 135°

Answer

Option

SumUp

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