Question

Use the Triangle Angle Sum Theorem to find the measure of angle at point W for the triangle in the diagram. (1 point)
point W : (4y-4)°
point Z : 52°
Point X : 3y°
52°
24°
128°
28°
26°

Answer 1

A. 26°
B.24°
C. 128°
D.28°

Answer 2

To find the measure of angle W, we can use the Triangle Angle Sum Theorem, which states that the sum of the angles in a triangle is always 180 degrees.

In this case, we know the measures of angles Z and X, but we need to find the measure of angle W.

Angle Z = 52°
Angle X = 3y°

Using the Triangle Angle Sum Theorem:
Angle Z + Angle X + Angle W = 180°

Substituting the given values:
52° + 3y° + (4y-4)° = 180°

Simplifying the equation:
52° + 3y° + 4y° - 4° = 180°
7y - 4 = 180°
7y = 184°
y = 26°

Now that we have found the value of y, we can substitute it back into the equation to find the measure of angle W:
4y - 4°
= 4(26) - 4°
= 104° - 4°
= 100°

Therefore, the measure of angle W is 100°.

Answer 3

Apologies for the confusion, but without a clear diagram or additional information, I am unable to determine the measure of angle W.