what is the value of y.if p and q are parallel to each other?
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4
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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Answered by
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°
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