Maths-
General
Easy

Question

If lines l and m are parallel, find the value of x.

The correct answer is: Hence the value of x=32°


    SOLUTION:
    HINT: Use the property of parallel lines angle rules.
    Complete step by step solution:
    Here we have 2 parallel lines m and land a transversal intersecting these parallel
    lines.
    Here,  left parenthesis 5 x minus 15 right parenthesis to the power of ring operator text  and  end text 35 to the power of ring operator forms co-interior angles and they add up to 180 to the power of ring operator
    left parenthesis 5 x minus 15 right parenthesis to the power of ring operator plus 35 to the power of ring operator equals 180 to the power of ring operator(co-interior angles)
    not stretchy rightwards double arrow 5 x plus 20 to the power of ring operator equals 180 to the power of ring operator
    not stretchy rightwards double arrow 5 x equals 180 to the power of ring operator minus 20 to the power of ring operator
    not stretchy rightwards double arrow 5 x equals 160 to the power of ring operator
    not stretchy rightwards double arrow x equals 32 to the power of ring operator
    Hence the value of x equals 32 to the power of ring operator

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