Question

I NEED THIS TO BE CORRECT, I WILL GIVE ANYTHING!!

2. In the figure, is an exterior angle to .

(a) Explain why is equal to the sum of the measures of the two nonadjacent interior angles.
(b) What is ?

Answer 1

well, your question is why the exterior angle of the triangle is equal to the some of interior opposite angles.

hope it will help you.

Answer 2

Answer:

Angle 4 = 25+52=77

Step-by-step explanation:

Angle 4 = angle 2 + angle 1

(Exterior angle sum property)

Proof of the theorem,

Angle 1 + angle 2 + angle 3 = 180

(Angle sum property of a triangle)

Angle 3 + angle 4 = 180

( Linear pair)

Angle 1+ angle 2 + angle 3 = angle 3 + angle 4

Angle 1 + angle 2 = angle 4

Hence proved

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