Question

PLEASE SOLVE ASAP!!!

Answer 1

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.

brainly.com/question/25813512

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