Question

Given: 1 and 2 are complements, 2 and 3 are complements, and m1 = 35°. Prove: m3 = 35° Complete the missing parts of the paragraph proof. By the , we know that angle 1 is congruent to angle 3. The measure of angle 1 equals the measure of angle 3 by the definition of angles. Then, using the property, the measure of angle 3 is degree

Answer 1

By the congruent complements theorem , we know that angle 1 is congruent to angle 3. The measure of angle 1 equals the measure of angle 3 by the definition of congruent angles. Then, using the substitution property, the measure of angle 3 is 35 degrees.

Explanation:

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Answer 2

Complements sum to 90 degrees. If 1 and 2 are complements, and m1=35 deg, then m2 =90-35 = 55 degrees. Now if 2 and 3 are complements, and m2= 55 deg., then m3= 90 - 55 = 35 degrees.