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Lesson Example Discussion Quiz: Class Homework

Step-5

Title: Perimeter of Triangle(based on angles)

Grade: 4-a Lesson: S1-L8

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

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	In triangle UVW, the measure of angle U is four times the measure of angle V, and the measure of angle W is three times the measure of angle V. If angle V measures 30 degrees, find the measures of angles U and W.
2	Step	Given that the measure of angle V is	30 degrees
3	Step	The measure of angle U is four times the measure of angle V:	Angle U = 4 * Angle V
4	Step	Substitute the Angle V value	Angle U = 4 * 30 degrees = 120 degrees
5	Step	The measure of angle W is three times the measure of angle V:	Angle W = 3 * Angle V
6	Step	Substitute the Angle V value	Angle W = 3 * 30 ⇒ 90 degrees
7	Step	In triangle UVW: Angle U = 120 degrees Angle V = 30 degrees Angle W = 90 degrees
8	SumUp	Can you summarize what you’ve understood in the above steps?
9	Choice.A	This is incorrect, as it does not match the calculation	135 and 25 degrees
10	Choice.B	This is incorrect, as it does not match the calculation	110 and 80 degrees
11	Choice.C	This is correct because it correctly states the measures of angles U and W as 120 and 90 degrees	120 and 90 degrees
12	Choice.D	This is incorrect, as it does not match the calculation	140 and 45 degrees
13	Answer	Option	C
14	SumUp	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

In triangle UVW, the measure of angle U is four times the measure of angle V, and the measure of angle W is three times the measure of angle V. If angle V measures 30 degrees, find the measures of angles U and W.

Step

Given that the measure of angle V is

30 degrees

Step

The measure of angle U is four times the measure of angle V:

Angle U = 4 * Angle V

Step

Substitute the Angle V value

Angle U = 4 * 30 degrees = 120 degrees

Step

The measure of angle W is three times the measure of angle V:

Angle W = 3 * Angle V

Step

Substitute the Angle V value

Angle W = 3 * 30

⇒ 90 degrees

Step

In triangle UVW:

Angle U = 120 degrees

Angle V = 30 degrees

Angle W = 90 degrees

SumUp

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

Choice.A

This is incorrect, as it does not match the calculation

135 and 25 degrees

Choice.B

This is incorrect, as it does not match the calculation

110 and 80 degrees

Choice.C

This is correct because it correctly states the measures of angles U and W as 120 and 90 degrees

120 and 90 degrees

Choice.D

This is incorrect, as it does not match the calculation

140 and 45 degrees

Answer

Option

SumUp

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