Given ∠2≅∠8, which theorem allows you to conclude m∥n?

Mathematics

1 answer:

Grace [21]3 years ago

8 0

Answer:

C. Converse of Alternate Interior Angles Theorem

Step-by-step explanation:

Look for a Z shape (or a backwards Z) where the top and bottom bars of the Z are the parallel lines. Then the alternate interior angles are tucked into the the "corners" of the Z. The answer A is close but it says if the lines are parallel then the angles are congruent (the alt-int angles) So the converse is that if the alt-int angles are congruent then the lines are parallel. Your answer is C.

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The measure of one of the small angles of a right triangle is 18 less than twice the measure of the other small angle. Find the

Kipish [7]

<u>Answer:</u>

36° and 54°

<u>Step-by-step explanation:</u>

We are given that one of the small angles of a right angled triangle is 18 less than twice the measure of the other small angle.

We are to find the measure of both angles.

Assuming $x$ to be the other small angle, 8 less than twice the measure of the other small angle = $2x-18$ .