Maths-
General
Easy

Question

A floor plan of a room is shown in the diagram. What would be 
the measure of angle P?

The correct answer is: Hence the value of ∠p=125°


    SOLUTION:
    HINT: Use the property of parallel lines angle rules.
    Complete step by step solution:


    Here we have 2 parallel lines m and l and a transversal intersect these parallel lines.
    Now we have   55 to the power of ring operator equals straight angle b(alternate interior angles)
    Here,   straight angle b text  and  end text straight angle p  forms linear pair and they add up to 180 to the power of ring operator
    not stretchy rightwards double arrow straight angle b plus straight angle p equals 180 to the power of ring operator
    not stretchy rightwards double arrow 55 to the power of ring operator plus straight angle p equals 180 to the power of ring operator
    not stretchy rightwards double arrow straight angle p equals 180 to the power of ring operator minus 55 to the power of ring operator
    not stretchy rightwards double arrow straight angle p equals 125 to the power of ring operator
    Hence the value ofstraight angle p equals 125 to the power of ring operator

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