Lesson Example Discussion Quiz: Class Homework |
Step-4 |
Title: Parallel Lines & Transversals |
Grade: 10-a Lesson: S1-L5 |
Explanation: |
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
In a given below figure PQ ∥ ST. Find the value of x.
|
|
2 |
Step |
Given |
\$\angle QPR = 123°\$ and \$\angle TSR = 110°\$ |
3 |
Step |
Consecutive interior angles |
\$\angle QPR + \angle PRx = 180°\$ |
4 |
Step |
Now substitute the value |
123 + \$\angle 1\$ = 180° |
5 |
Step |
After simplication |
\$\angle 1\$ = 180 - 123 = 57° |
6 |
Step |
Again Rx ∥ ST and transversal SR cuts them at S and R respectively |
|
7 |
Step |
Consecutive interior angles |
\$\angle TSR + \angle SRx = 180°\$ |
8 |
Step |
Now substitute the value |
110 + \$\angle 2\$ = 180° |
9 |
Step |
After simplication |
\$\angle 2\$ = 180 - 110 = 70° |
10 |
Step |
Now substitute the value \$\angle 1 and \angle 2\$ |
\$x = \angle 1 + \ angle2 \$ = \$57 + 70\$ |
11 |
Step |
After simplication |
x = 127° |
12 |
Answer |
The x value is 127° |
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