Given: ∠A is a straight angle. ∠B is a straight angle.
We need to Prove: ∠A≅∠B.
We know straight angles are of measure 180°.
So, ∠A and <B both would be of 180°.
It is given that ∠A and ∠B are straight angles. This means that both angles are of 180° because of the the definition of straight angles. Using the definition of equality, m∠A=m∠B . Finally, ∠A≅∠B by definition of congruent.