Question

I need help with these. I have no idea how to find the answer for them. My teacher told me the first one was 136 but she didn’t explain how to find the answer or anything. Can someone please explain how you get the answers step by step & not just give them to me. Thank!

Answer 1

Answer:

136

55

53

70

Step-by-step explanation:

1) here x and 136 are alternate interior angles and they are equal

2) here x and 125 lie on the same straight line

so x  + 125 = 180

x = 55

3) here 53 and x are corresponding angles and they are equal

x = 53

4) for this see picture below

side angle to 110 becomes x because of corresponding angles

and as this x and 110 lie on same line

x + 110 = 180

x = 70

Answer 2

Answer:

A) If a line crosses 2 parallel lines, then each angle it forms with the first line is the same angle on the second line. And when 2 lines crosses, the opposite angles are the same.

B) x is 180° - 125° = 55°

C) x is 53° (If a line crosses 2 parallel lines, then each angle it forms with the first line is the same angle on the second line.)

D) x is 180° - 110° = 70°