Respuesta :

Answer:

x = 11, y = 3

Step-by-step explanation:

(13x - 19) and (9x + 25) are corresponding angles and congruent, thus

13x - 19 = 9x + 25 ( subtract 9x from both sides )

4x - 19 = 25 ( add 19 to both sides )

4x = 44 ( divide both sides by 4 )

x = 11

Then

13x - 19 = 13(11) - 19 = 143 - 19 = 124

(17y + 5) and 124 are alternate angles and are supplementary, thus

17y + 5 + 124 = 180, that is

17y + 129 = 180 ( subtract 129 from both sides )

17y = 51 ( divide both sides by 17 )

y = 3

x = 11 and y = 3 is the answer.

It's given in the picture,

  • 'l' and 'm' are the parallel lines and a transversal is intersecting these parallel lines.

Two angles measuring (13x - 19)° and (17y + 5)° are the supplementary angles.

Therefore, (13x - 19)° + (17y + 5)° = 180°

13x + 17y = 180 + 14

13x + 17y = 194 --------(1)

Angles measuring (9x + 25) and (13x - 19) are the corresponding angles.

Therefore, (9x + 25) = (13x - 19)

9x - 13x = -19 - 25

-4x = -44

x = 11

By substituting the value of 'x' in equation (1),

13x + 17y = 194

13(11) + 17y = 194

17y = 194 - 143

17y = 51

y = 3

     Therefore, x = 11 and y = 3 will be the answer.

Learn more,

https://brainly.com/question/10547014

Otras preguntas