Question

what is the value of y.if p and q are parallel to each other?​

Answer 1

Answer:

2x + 10 = 3x - 38

10 + 38 = 3x - 2x

x = 48⁰

y = 2x + 10 (V.O.A)

y = 2×48 + 10

y = 96 + 10

y = 106⁰

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Answer 2

Answer:

y = 106°

Step-by-step explanation:

If 'p' and 'q' are parallel, then the pairs of corresponding angles will be equal.

Angle (3x - 38)° = Angle (2x + 10)°

⇒ 3x - 2x = 38 + 10

⇒ x = 48°

Putting the value of 'x' in both the angles,

Angle (3x - 38)° = 3(48) - 38 = 144 - 38 = 106°

Angle (2x + 10)° = 2(48) + 10 = 96 + 10 = 106°

y = 106° (Vertically Opposite Angles)

Therefore, y = 106°