Lesson Example Discussion Quiz: Class Homework |
Step-5 |
Title: Parallel Lines & Transversals |
Grade: 10-a Lesson: S1-L5 |
Explanation: |
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
In a given below figure LM ∥ PQ. Find the value of a.
|
|
2 |
Step |
Given |
\$\angle LMN = 44\$ , \$\angle QPO = 56\$ |
3 |
Step |
Alternate interior angle LM ∥ RS |
\$\angle LMN = \angle SNM\$ |
4 |
Step |
Alternate interior angle LM ∥ RS |
w = 44° |
5 |
Step |
Given |
\$\angle MNO = 98°\$ |
6 |
Step |
Now substitute the value |
w + x = 98° |
7 |
Step |
After simplication |
x = 98 - 44 |
8 |
Step |
After simplication |
x = 54° |
9 |
Step |
Alternate interior angle RS ∥ UV |
\$\angle NOU \$ = \$\angle SNO\$ |
10 |
Step |
Alternate interior angle RS ∥ UV |
y = x = 54° |
11 |
Step |
Alternate interior angle UV ∥ PQ |
\$\angle UOP \$ = \$\angle QPO\$ |
12 |
Step |
Alternate interior angle UV ∥ PQ |
z = 56° |
13 |
Step |
Alternate interior angle UV ∥ PQ |
a = y + z |
14 |
Step |
Now substitute the value |
a = 54 + 56 |
15 |
Step |
After simplication |
a = 110° |
16 |
Answer |
The a value is 110° |
|
Copyright © 2020-2022 saibook.us Contact: info@saibook.us Version: 1.5 Built: 29-May-2023 7:45 PM EST