Ra - 4th Quarter
English
Proving the Sum of Interior Angles
Examine the diagram.
The diagram shows parallel lines cut by two transversal
lines creating a triangle. Which statement can be made
from the diagram?
OmZB + m2 C + 55° = 180°
MZA + 60° + 55° = 180°
m2 C = 55°
Om A = 55°
60
C
65
55

Step-by-step explanation:

Ong

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.