3. Two parallel lines l and m are cut by a transversal t. If the interior angles of the same side o t be (2x – 8)° and (3x – 7)º, find

Question

3. Two parallel lines l and m are cut by a transversal t. If the interior angles of the same side o
t be (2x – 8)° and (3x – 7)º, find the measure of each of these angles.
that s is not​

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Mackenzie 1 month 2021-08-13T12:54:55+00:00 1 Answer 0 views 0

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    2021-08-13T12:56:52+00:00

    Answer:

    As we know that the sum of angles to the same side of  a transversal line is 180°

    Therefore,

    (2x – 8)° + (3x – 7)º = 180°

    2x – 8° + 3x – 7º = 180°

    2x+3x – 8°- 7º = 180°

    5x -15º = 180°

    5x = 180° + 15º

    5x = 195°

    x = 195° / 5

    x = 39°

    The angles are :

    (2x – 8)°      and     (3x – 7)º

    2 X 39º – 8  and 3 X 39º – 7

    78-8            and        117-7

    70º             and      110º

    Thank you.

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