The value of w, x, y, and z will be 57°, 57°, 66°, and 57°. Then the value of the expression will be 237°.
What is the triangle?
A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The diagram is given below.
Given ΔABC with BA extended to D, AB = AC and AE bisects ∠DAC.
x = ∠DAE = ∠EAC = 57°
The sum of linear angles is 180 degrees.
∠DAE + ∠EAC + ∠CAB = 180°
57° + 57° + ∠CAB = 180°
∠CAB = 66°
y = 66°
Then the triangle is an isosceles triangle. Then the angle z and w will be equal.
w = z
Then we have
Angle sum of triangle is 180 degrees.
z + w + 66° = 180°
2z = 114°
z = w = 57°
Then the value of the expression will be
⇒ w + x + y + z
⇒ 57° + 57° + 66° + 57°
⇒ 237°
More about the triangle link is given below.
https://brainly.com/question/25813512
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