Given: ∠A is a straight angle. ∠B is a straight angle.

Mathematics

2 answers:

choli [55]4 years ago

7 0

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. 

Alika [10]4 years ago

5 0

Just took the quiz, the right answers are:

It is given that ∠A and ∠B are straight angles. This means that m∠A = 180° and m∠B = 1 because of the definition of straight angles .

Using the substitution property of equality , m∠A = m∠B . Finally, ∠A≅∠B by angle congruence postulate .

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Utilize the request for tasks to improve on mathematical articulations. The request is brackets, types and roots, augmentation and division, expansion and deduction. Duplication and division are "something similar" so you would utilize the first that happens from left to right.

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Vladimir [108]

<h2>Answer:</h2>

This is a theorem called Converse of Alternate Exterior Angles that states that if two lines are cut by a transversal and the alternate exterior angles are congruent, then the lines are parallel. Moreover, this theorem is based upon the corresponding Angles Converse Postulate that states that if two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel. We don't need to prove this postulate, it's assume to be true. So our goal is to get corresponding angles congruent in order to use the corresponding Angles Converse Postulate,

Reason: Given

Statement: $\angle1\cong\angle2$