Question
Download Solution PDFTwo parallel lines are intersected by a transversal and the two interior angles so formed on the same side of the transversal are (2x + 15°) and (3x - 20°). Then, the value of (4x + 6°) is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The two angles given are 2x + 15 and 3x - 20
Concept:
When two parallel lines are intersected by a transversal, several types of angles are formed.
One of the key properties of these angles is that the sum of the two interior angles on the same side of the transversal is always supplementary, meaning they add up to 180º.
Calculation:
Set up the equation for the angles
⇒ 2x + 15 + 3x - 20 = 180... ( angles are supplementary)
⇒ 5x - 5 =180
⇒ x = 37
Now substituting the value of x in 4x + 6
⇒ 4(37) + 6 = 154
∴ The Correct answer is Option (3): 154
Last updated on Apr 30, 2025
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