Question

Select all true statements

A. x=y
B. x + y = 180
C. y=z
D. x + z = 180
E. y + z = 180

Answer 1

B.

C.

D.

Explanation:

x and y are supplementary angles (together they are 180°).

but they are not equal.

due to the fact that the sum of all angles in a triangle is always 180°, we know

180 = 82 + 54 + x

x = 44°

therefore, y = 180 - x = 136°

so, x and y are not equal.

according to the rules of the angle of intersecting lines, the angles on both sides of a line are the same but left-right mirrored.

so, y and z are equal.

and therefore also x and z are supplementary angles, just for the other crossing line.