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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	In the given scenario with parallel images A and B, if angles (4x) and (2x-6) are supplementary, what is the value of x for these angles?
2	Step	The given supplementary angles are	4x and 2x - 6
3	Hint	When two angles are supplementary, their measures combine to make a straight line, adding up to 180 degrees.
4	Step	Setting up the equation for supplementary angles formed by parallel lines A and B, we write	4x + (2x - 6) = 180°
5	Step	Simplify the x terms:	⇒ 4x + 2x - 6 = 180 ⇒ 6x - 6 = 180
6	Step	To solve the equation, add 6 to both sides, which helps isolate the variable	⇒ 6x + 6 - 6 = 180 + 6 ⇒ 6x = 186
7	Step	Divide each side of the equation by 6 to find the value of x	⇒ \$(6x)/6 = 186/6\$ ⇒ x = 31
8	Step	The value of x is 31.
9	SumUp	Can you summarize what you’ve understood in the above steps?
10	Choice.A	This is correct because it satisfies the equation	31
11	Choice.B	This is incorrect because it does not satisfy the equation	26
12	Choice.C	This is incorrect because it does not satisfy the equation	35
13	Choice.D	This is incorrect because it does not satisfy the equation	42
14	Answer	Option	A
15	SumUp	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

In the given scenario with parallel images A and B, if angles (4x) and (2x-6) are supplementary, what is the value of x for these angles?

Step

The given supplementary angles are

4x and 2x - 6

Hint

When two angles are supplementary, their measures combine to make a straight line, adding up to 180 degrees.

Step

Setting up the equation for supplementary angles formed by parallel lines A and B, we write

4x + (2x - 6) = 180°

Step

Simplify the x terms:

⇒ 4x + 2x - 6 = 180
⇒ 6x - 6 = 180

Step

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

⇒ 6x + 6 - 6 = 180 + 6
⇒ 6x = 186

Step

Divide each side of the equation by 6 to find the value of x

⇒ \$(6x)/6 = 186/6\$
⇒ x = 31

Step

The value of x is 31.

SumUp

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

Choice.A

This is correct because it satisfies the equation

Choice.B

This is incorrect because it does not satisfy the equation

Choice.C

This is incorrect because it does not satisfy the equation

Choice.D

This is incorrect because it does not satisfy the equation

Answer

Option

SumUp

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