In the diagram above, what is the sum of the measures of the , and?

In the diagram above, what is the sum of the measures of the

,

and

?

A . 180º
B . 360
C . 540º
D . 720º
E . Cannot be determined.

View Answer

Answer: B

Explanation:

There are 180º in a line: ( x + (supplement of

)) + ( y + (supplement of

)) + ( z + (supplement of

)) = 540. The supplement of

, the supplement of

, and the supplement of

are the interior angles of a

triangle. There are 180º in a triangle, so those supplements sum to 180. Therefore,x + y + z + 180 = 540, and x + y + z = 360.