Question

given statements:
if two angles are vertical, then they are congruent.
∠1 and ∠2 are vertical.
which is a logical conclusion from the given statements?
a ∠1 + ∠2 = 90 degrees
b ∠1 + ∠2 = 180 degrees
c ∠1 ≅ ∠2
d ∠1 ⊥ ∠2

Explanation:

Step1: Analyze the first statement

The first statement says "If two angles are vertical, then they are congruent".

Step2: Apply to ∠1 and ∠2

Since ∠1 and ∠2 are vertical (given), by the first statement, they must be congruent.

Answer:

C. \( \angle1\cong\angle2\)