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aliya0001 [1]
3 years ago
6

Given: 1 and 2 are supplements, and 3 and 2 are supplements.

Mathematics
2 answers:
Ronch [10]3 years ago
5 0

The <em><u>correct answers</u></em> are:

Supplementary; ∠2 and ∠3; substitution; 2.

Explanation:

Supplementary angles are angles whose measures sum to 180°.  Thus this is the first answer.  

Since we are told that ∠2 and ∠3 are supplementary, their measures sum to 180° and they are the second answer.

We know that m∠1 + m∠2 = 180° and m∠2 + m∠3 = 180°.  We can substitute "m∠2 + m∠3" for 180° in the first equation; this is the substitution property.

To isolate m∠1 on the right, we will subtract m∠2 from each side, and get that m∠1 = m∠3 and the angles are congruent.


andreev551 [17]3 years ago
5 0
By the definition of <span>supplementary</span><span> angles, the sum of the measures of angles 1 and 2 is 180 degrees. Likewise, the sum of the measures of angles </span><span>3 and 2</span><span> is 180 degrees. By the s</span><span>ubstitution </span><span>property, </span>m<span>1 + </span>m<span>2 = </span>m<span>3 + </span>m<span>2. Subtract the measure of angle </span><span>2</span><span> from each side. You get </span>m<span>1 = </span>m<span>3, or </span><span>1 </span> <span>3, by the definition of congruence.</span>
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