SaiBook.us Geometry

Home Course Section

Schedule Admission Social

Lesson Example Discussion Quiz: Class Homework

Step-5

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	Line 1 and line 2 are perpendicular. Calculate the missing angle (x°) between line 1 and line 3.
2	Step	The given values are	line 1 and line 3 = 53
3	Step	Angle between Line 1 and Line 2:	∠1 = 90° ( perpendicular)
4	Step	Angle between Line 3 and Line 2:	∠2 = 53°
5	Hint	Since ∠1 and ∠2 are complementary, we can find ∠3 (the missing angle) by subtracting ∠2 from ∠1:	∠3 = ∠1 − ∠2
6	Step	Now, you can plug these values	⇒ ∠3 = 90 − 53 ⇒ ∠3 = 37
7	Step	So, the missing angle ∠3 between Line 1 and Line 3 is 37°.
8	SumUp	Can you summarize what you’ve understood in the above steps?
9	Choice.A	This is incorrect calculation. Adding ∠1 and ∠2 doesn’t find the missing angle between Line 1 and Line 3	73°
10	Choice.B	This is not correct because it doesn’t follow the correct calculation for finding ∠3	127°
11	Choice.C	This is correct it represents the measure of the missing angle ∠3 between Line 1 and Line 3	37°
12	Choice.D	This is not correct because it does not represent the correct calculation for the missing angle between lines 1 and 3	117°
13	Answer	Option	C
14	SumUp	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

Line 1 and line 2 are perpendicular. Calculate the missing angle (x°) between line 1 and line 3.

Step

The given values are

line 1 and line 3 = 53

Step

Angle between Line 1 and Line 2:

∠1 = 90° ( perpendicular)

Step

Angle between Line 3 and Line 2:

∠2 = 53°

Hint

Since ∠1 and ∠2 are complementary, we can find ∠3 (the missing angle) by subtracting ∠2 from ∠1:

∠3 = ∠1 − ∠2

Step

Now, you can plug these values

⇒ ∠3 = 90 − 53
⇒ ∠3 = 37

Step

So, the missing angle ∠3 between Line 1 and Line 3 is 37°.

SumUp

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

Choice.A

This is incorrect calculation. Adding ∠1 and ∠2 doesn’t find the missing angle between Line 1 and Line 3

73°

Choice.B

This is not correct because it doesn’t follow the correct calculation for finding ∠3

127°

Choice.C

This is correct it represents the measure of the missing angle ∠3 between Line 1 and Line 3

37°

Choice.D

This is not correct because it does not represent the correct calculation for the missing angle between lines 1 and 3

117°

Answer

Option

SumUp

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