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Lesson Example Discussion Quiz: Class Homework

Step-3

Title: Parallel Lines

Grade: 6-a Lesson: S2-L7

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

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	If lines A and B are parallel, and line C intersects them at a 56-degree angle, what is the value of x in the exterior corresponding angle expression 4x + 6?
2	Step	The given angle is formed by the lineC is	56 degrees
3	Step	The exterior corresponding angle is	4x + 6
4	Step	The exterior corresponding angle is equal to the angle formed by line C, we can write the equation:	4x + 6 = 56
5	Step	To solve the equation, subtract 6 to both sides, which helps isolate the variable	⇒ 4x + 6 - 6 = 56 - 6 ⇒ 4x = 50
6	Step	Divide each side of the equation by 4 to find the value of	⇒ \$(4x)/4 = 50/4\$ ⇒ x = 12.5
7	Step	The value of x is 12.5.
8	SumUp	Can you summarize what you’ve understood in the above steps?
9	Choice.A	This answer is incorrect because it doesn’t meet the requirements stated in the problem’s information and equation	10.5
10	Choice.B	This answer is incorrect because it doesn’t meet the requirements stated in the problem’s information and equation	15.5
11	Choice.C	This is accurate because it meets the requirements of the equation based on the provided information	12.5
12	Choice.D	This answer is incorrect because it doesn’t meet the requirements stated in the problem’s information and equation	18.5
13	Answer	Option	C
14	SumUp	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

If lines A and B are parallel, and line C intersects them at a 56-degree angle, what is the value of x in the exterior corresponding angle expression 4x + 6?

Step

The given angle is formed by the lineC is

56 degrees

Step

The exterior corresponding angle is

4x + 6

Step

The exterior corresponding angle is equal to the angle formed by line C, we can write the equation:

4x + 6 = 56

Step

To solve the equation, subtract 6 to both sides, which helps isolate the variable

⇒ 4x + 6 - 6 = 56 - 6
⇒ 4x = 50

Step

Divide each side of the equation by 4 to find the value of

⇒ \$(4x)/4 = 50/4\$
⇒ x = 12.5

Step

The value of x is 12.5.

SumUp

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

Choice.A

This answer is incorrect because it doesn’t meet the requirements stated in the problem’s information and equation

10.5

Choice.B

This answer is incorrect because it doesn’t meet the requirements stated in the problem’s information and equation

15.5

Choice.C

This is accurate because it meets the requirements of the equation based on the provided information

12.5

Choice.D

This answer is incorrect because it doesn’t meet the requirements stated in the problem’s information and equation

18.5

Answer

Option

SumUp

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