Maths-
General
Easy

Question

Find the value of x + y.

hintHint:

Use the property of parallel lines angle rules.

The correct answer is: ⇒∠x+∠y=210°


    Complete step by step solution:

                                           

    Here we have 2 parallel lines m and land 2 transversals and  intersecting these
    parallel lines.
    Here,  125 to the power of ring operator text  and  end text x to the power of ring operator forms co-interior angles and they add up to180 to the power of ring operator

                                         not stretchy rightwards double arrow 125 to the power of ring operator plus x to the power of ring operator equals 180 to the power of ring operator

                                         not stretchy rightwards double arrow x to the power of ring operator equals 180 to the power of ring operator minus 125 to the power of ring operator

                                               straight angle x equals 55 to the power of ring operator
    Now,  25 to the power of ring operator text  and  end text y to the power of ring operator forms co-interior angles and they add up to180 to the power of ring operator

                                      not stretchy rightwards double arrow 25 to the power of ring operator plus y to the power of ring operator equals 180 to the power of ring operator

                                       not stretchy rightwards double arrow y to the power of ring operator equals 180 to the power of ring operator minus 25 to the power of ring operator

                                        straight angle y equals 155 to the power of ring operator

                                    Now,straight angle x plus straight angle y equals 55 to the power of ring operator plus 155 to the power of ring operator

                                     not stretchy rightwards double arrow straight angle x plus straight angle y equals 210 to the power of ring operator

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