Question

Given m

n, find the value of x and y.
m
35°
x
yº
X=
y =
PLS HELP I’m kinda really confused

Answer 1

x = 145

y = 35

Explanation:

35 and y are alternate interior angles and alternate interior angles are equal when the lines are parallel

35 = y

x+y = 180 because x and y form a straight line

x+35 = 180

x = 180-35

x = 145

Answer 2

x = 145°, y = 35°

Explanation:

Given,

m || n

So,

35° = y° [Alternate interior angles]

And,

y° + x° = 180° [Since linear pair]

=> x + 35 = 180

=> x = 180 - 35

=> x = 145°

Hence,

x = 145°, y = 35°