Question 2 of 10 Which of the following statements must be true about this diagram? Check
all that apply.
A. y+z=w
B. X+ y = w
C. Z>X
D. x + y = 2
DE. W X
F. W>Y
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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

a is the correct

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.