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Lesson Example Discussion Quiz: Class Homework

Step-2

Title: Perpendiculer Lines

Grade: 6-a Lesson: S2-L8

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

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	If Ab and B are perpendicular lines, the line passing through point O is the intersecting point, and the angle made with A is 36 degrees, find the angle made with B.
2	Hint	The line A and B are perpendicular, so the angle between A and B is 90°.
3	Hint	The line intersects point O, forming an angle with another line 36°.
4	Step	The angle made by line B is the difference between the angle of line A and the angle between lines A and B	⇒ Angle at B = 90° - 36° ⇒ Angle at B = 54°
5	Step	Therefore the angle made with B is 54°.
6	SumUp	Can you summarize what you’ve understood in the above steps?
7	Choice.A	This is the correct answer, as it represents the measure of the angle formed with line B	54°
8	Choice.B	This is incorrect representation of complementary angles in a right-angled triangle	44°
9	Choice.C	This is not correct because the correct measure for the angle formed with line B is 54 degrees, not 68 degrees	68°
10	Choice.D	This is not correct because it does not satisfy the conditions	45°
11	Answer	Option	A
12	SumUp	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

If Ab and B are perpendicular lines, the line passing through point O is the intersecting point, and the angle made with A is 36 degrees, find the angle made with B.

Hint

The line A and B are perpendicular, so the angle between A and B is 90°.

Hint

The line intersects point O, forming an angle with another line 36°.

Step

The angle made by line B is the difference between the angle of line A and the angle between lines A and B

⇒ Angle at B = 90° - 36°
⇒ Angle at B = 54°

Step

Therefore the angle made with B is 54°.

SumUp

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

Choice.A

This is the correct answer, as it represents the measure of the angle formed with line B

54°

Choice.B

This is incorrect representation of complementary angles in a right-angled triangle

44°

Choice.C

This is not correct because the correct measure for the angle formed with line B is 54 degrees, not 68 degrees

68°

Choice.D

This is not correct because it does not satisfy the conditions

45°

Answer

Option

SumUp

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