Question
Download Solution PDFIn the given figure if PQ || RS, then the value of x is -
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
PQ || RS (PQ is parallel to RS)
Angle 1 = (3x - 20)°
Angle 2 = (2x - 10)°
Concept Used:
When two parallel lines are intersected by a transversal, the consecutive interior angles are supplementary. This means that the sum of the measures of the consecutive interior angles is 180°.
In the given figure, the angles labeled (3x - 20)° and (2x - 10)° are consecutive interior angles.
Calculation:
According to the concept of consecutive interior angles:
(3x - 20)° + (2x - 10)° = 180°
Combine like terms:
3x + 2x - 20 - 10 = 180
5x - 30 = 180
5x = 180 + 30
5x = 210
x = 210 / 5
x = 42
∴ The value of x is 42.
Last updated on Jun 2, 2025
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