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Step-2

Title: Parallel Lines & Transversals

Grade: 10-a Lesson: S1-L5

Explanation:

Step	Type	Explanation	Answer
1	Problem	In the given figure, O ∥ P and m ∥ n, then find the values of x and y. $2$
2	Step	Given	Angles = 118 and x = ! and (4y+8 = !)
3	Step	Adjacent angle as z	118 + z = 180 (linear pair of angles is supplementry)
4	Step	After simplication	z = 62°
5	Step	Corresponding angles are equal	\$\angle x\$ = \$\angle z\$ = 62°
6	Step	Now Corresponding angles are equal	\$\angle x\$ = \$\angle 4y + 8\$
7	Step	After simplication	4y + 8 = 62°
8	Step	After simplication	4y = 62 - 8
9	Step	After simplication	4y = 54
10	Step	After simplication	y = 13.5°
11		Answer	The values of x = 62° and y = 13.5°

Step

Type

Explanation

Answer

Problem

In the given figure, O ∥ P and m ∥ n, then find the values of x and y.
$2$

Step

Given

Angles = 118 and x = ! and (4y+8 = !)

Step

Adjacent angle as z

118 + z = 180 (linear pair of angles is supplementry)

Step

After simplication

z = 62°

Step

Corresponding angles are equal

\$\angle x\$ = \$\angle z\$ = 62°

Step

Now Corresponding angles are equal

\$\angle x\$ = \$\angle 4y + 8\$

Step

After simplication

4y + 8 = 62°

Step

After simplication

4y = 62 - 8

Step

After simplication

4y = 54

Step

After simplication

y = 13.5°

Answer

The values of x = 62° and y = 13.5°