Brainliest and ! what is the name of an interior angle of a triangle that shares a side and a vertex with an exterior angle of the triangle? a) exterior angle b) adjacent interior angle c) remote interior angle d) alternate interior angle

Adjacent interior angle.

Step-by-step explanation:

The interior and exterior angles of a triangle are adjacent because they share a common vertex and side. They are also on the interior of the 2 parallel lines if 2 parallel lines are formed with a transversal(one of the parallel lines and the transversal are sides of the triangle).

step-by-step explanation:

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answer:   the paragraph proof is mentioned below.

step-by-step explanation:

given: in a δxwy where

such that, ∠wzx ≅ ∠yzx and zw≅zy

we have to prove that: segment zx is a perpendicular bisector of segment wy.

prove: since, zw≅zy ⇒ ∠wzy is a supplementary angle.

then, ∠wzy= 180°

⇒∠wzx + ∠yzx = 180° ( because xz divides ∠wzy into two parts)

but, ∠wzx ≅ ∠yzx ( given)

⇒∠wzy+∠wzy=180° ( by substitution)

⇒2∠wzy=180°

⇒∠wzy=90°

⇒∠wzy=∠yzx =90°

therefore, xz⊥wy where wz=zy

⇒zx is a perpendicular bisector of wy.