Question

In Fig. 8.132, if l1 || l2, what is the value of y?
A. 100
B. 120
C. 135
D. 150

Answer 1

$\large\red{ANSWER}$

$y = 3x \: \: \:(alternate \: angles) \\ also \\ x \: and \: y \: are \: linear \: pairs \\ = > x + y = 180 \\ x + 3x = 180 \\ 4x = 180 \\ = > x = \frac{18 0}{4} \\ = > x = 45$

$\large\blue{=>\:y\:=\:3x\:=\:3×45\:=\:135}$

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Answer 2

Answer:

l1 ‖ l2 and l3 is transversal

∠1 = 3x (Vertically opposite angle)

y = ∠1 (Corresponding angle)

y = 3x (i)

y + x = 180°(Linear pair)

3x + x = 180°[From (i)]

4x = 180° x = 45°

Therefore, y = 3x = 3 x 45°

= 135°