Question

two parallel lines l and m are cut by a transversal t. If the interior angles of the same side of t be (2x-8) degree and (3x-7) degree. Find the measure of each of these angles

Answer 1

Hi ,

( 2x- 8 ) and ( 3x - 7 ) are interior angles of the

same side of the transversal .

we know that ,

sum of interior angles of same side of the

transversal = 180°

2x - 8 + 3x - 7 = 180

5x - 15 = 180

5x = 180 + 15

5x = 195

x = 195 / 5

x = 39

Therefore ,

2x - 8 =( 2 × 39 ) -8

= 78 - 8

= 70°

3x - 7 = ( 3 × 39 ) - 7

= 117 - 7

= 110°

I hope this helps you ,

:)

Answer 2

Answer:

3x minus 10 is equal to 5 x minus 13 - 10 + 30 is equal to 5 x minus 3 x 20 is equal to 2 x 20 divided by 2 is equal to x is equal to 10 x

Step-by-step explanation:

ab is parallel to CD angle 1 is equal to 3 x minus 10 3 x x minus 10 is equal to 20 degree angle 1 is equal to 20 degree

7 is equal to 5 x minus 35 x x 10 minus 30 is equal to 20 degree