Which of the following statements must be true about this diagram? check
all that apply.

A E F

Explanation:

Rules to know:

Triangles = 180 degrees

Straight lines = 180 degrees (example z + w = 180)

Therefore: angles of straight line = angles of triangle

A : w is an obtuse angle (greater than 90) and x is acute (less than 90)

E : w is obtuse whereas y is acute.

F : Since triangle = 180 = x + y + z

Straight line = 180 = z + w

Equate the two:

z + w = x + y + z  (subtract z from both sides)

w = x + y

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