Sasha sketches a proof of the theorem that vertical angles are congruent. she uses the diagram below. image 60e77c675d4148c2bd12b955d853b377 angle 1 is supplementary to angle 2. angle 3 is supplementary to angle 2. by the transitive property of equality, the measure of angle 1 is equal to the measure of angle 3. angles 1 and 3 are congruent. all vertical angles are congruent. which expression represents the measure of both angle 1 and angle 3? a 2⋅m∠2 b 90°+m∠2 c 180°−m∠1 d 180°−m∠2

Option D (180°-m∠2)

Step-by-step explanation:

we know that

m∠1+m∠2=180° > equation A (by supplementary angles)

m∠3+m∠2=180° > equation B (by supplementary angles)

m∠1=m∠3 > equation C (by vertical angles)

Solve for m∠1 in equation A

m∠1=180°-m∠2

Remember that

m∠1=m∠3

so

m∠3=180°-m∠2

therefore

m∠1=180°-m∠2

m∠3=180°-m∠2

The expression that represent the measure of both angle 1 and angle 3 is

(180°-m∠2)

a: 1/6, j: 1/4

step-by-step explanation: you are welcome

congruent segments

step-by-step explanation: