Lesson Example Discussion Quiz: Class Homework |
Step-3 |
Title: Parallel Lines & Transversals |
Grade: 10-a Lesson: S1-L5 |
Explanation: |
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
In the given figure, a ∥ b and l is a transversal. Find the values of m and n. |
|
2 |
Step |
Given |
Angles are 7m° , (3m+n)° and (m+6n)° |
3 |
Step |
Corresponding angles are equal |
(3m+n) = (m+6n) |
4 |
Step |
After simplication |
3m - m = 6n - n |
5 |
Step |
After simplication |
2m = 5n |
6 |
Step |
After simplication |
\$m = (5n) /2\$ |
7 |
Step |
Now (linear angles are supplementary) |
7m + 3m + n = 180° |
8 |
Step |
After simplication |
10 m + n = 180° |
9 |
Step |
Now substitute the m value |
\$10 times (5n)/2\$ + n = 180° |
10 |
Step |
After simplication |
25 n + n = 180° |
11 |
Step |
After simplication |
26n = 180° |
12 |
Step |
After simplication |
n = 6.9 |
13 |
Step |
Now substitute the n value |
m = \$(5 times 6.9) /2\$ |
14 |
Step |
After simplication |
m = 17.2 |
15 |
Answer |
The values of m = 17.2 and n = 6.9 |
|
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