Respuesta :

Answer:

x = 35 , y = 72.5

Step-by-step explanation:

(a)

x and 35° are vertical angles and are congruent, then

x = 35

(b)

y. y and 35 lie on a straight line and sum to 180°, that is

y + y + 35 = 180

2y + 35 = 180 ( subtract 35 from both sides )

2y = 145 ( divide both sides by 2 )

y = 72.5

Answer:

y = 72.5 degrees

X = 35 degrees

Step-by-step explanation: A straight line is 180 degrees. The line with the two y degrees and the 35 degrees is a straight line, which is = 180 degrees. Because the y degrees are the same variable (y) they are equal degrees. All you need to do to find y is 180-35 =145. Divide that by 2 to find both y’s. 145 / 2 = 72.5. You can do the same for x, or realize that x and 35 are alternate interior angles, meaning they are the same measure: 35 degrees.