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Lesson Example Discussion Quiz: Class Homework

Step-4

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	Lines m and n are parallel. What is the value of y.
2	Hint	Line m and n are parallel lines One perpendicular line intersects both lines
3	Step	It converted into the right angle triangle, the exterior angle x is	x = 109°
4	Formula	The sum of the interior angle and exterior angles is equal to 180°,then interior angle is	⇒ x + interior = 180° ⇒ 109° + interior = 180
5	Step	After simplification	⇒ interior = 180° - 109° ⇒ interior = 71°
6	Step	Now find the adjacent interior angle of y angle is 3rd angle in a triangle that is	⇒ 71° + 90° + 3rd angle = 180° ⇒ 3rd angle = 180° - 161°
7	Step	So the adjacent interior angle of y angle is	19°
8	Step	Then 3rd angle and y angle lay on the m line, so there are supplementary angles	19° + y = 180°
9	Step	After simplification	⇒ y = 180° - 19° ⇒ y = 161°
10	SumUp	Can you summarize what you’ve understood in the above steps?
11	Choice.A	This is not correct because to calculation error	116°
12	Choice.B	This is not correct because to calculation error	101°
13	Choice.C	This is correct based on given information and calculation done correctly	161°
14	Choice.D	This is not correct because to calculation error	115°
15	Answer	Option	C
16	SumUp	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

Lines m and n are parallel. What is the value of y.

Hint

Line m and n are parallel lines
One perpendicular line intersects both lines

Step

It converted into the right angle triangle, the exterior angle x is

x = 109°

Formula

The sum of the interior angle and exterior angles is equal to 180°,then interior angle is

⇒ x + interior = 180°
⇒ 109° + interior = 180

Step

After simplification

⇒ interior = 180° - 109°
⇒ interior = 71°

Step

Now find the adjacent interior angle of y angle is 3rd angle in a triangle that is

⇒ 71° + 90° + 3rd angle = 180°
⇒ 3rd angle = 180° - 161°

Step

So the adjacent interior angle of y angle is

19°

Step

Then 3rd angle and y angle lay on the m line, so there are supplementary angles

19° + y = 180°

Step

After simplification

⇒ y = 180° - 19°
⇒ y = 161°

SumUp

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

Choice.A

This is not correct because to calculation error

116°

Choice.B

This is not correct because to calculation error

101°

Choice.C

This is correct based on given information and calculation done correctly

161°

Choice.D

This is not correct because to calculation error

115°

Answer

Option

SumUp

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