Question

MEDAL TO CORRECT ANSWER

Answer 1

x=78, x=55

Answer 2

can you please explain

Answer 3

Therefore, because the total degrees of a triangle is 180 degrees,
(y + 10) + 40 + 77 = 180
y = 180 - 10 - 40 - 77
y = 53 degrees

Answer 4

Now, as the degrees of a straight line also equals 180 degrees:

(x - 1) + 40 + (y + 10) = 180

But, as we already know that y = 53,

(x - 1) + 40 + (53 + 10) = 180

Answer 5

(x - 1) + 40 + (53 + 10) = 180
x - 1 + 40 + 53 + 10 = 180
x = 180 + 1 - 40 - 53 - 10
x = 78 degrees

Answer 6

Corresponding angles are congruent