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​

Answer 1

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.