Question

Write a two-column proof.

GIVEN: angle 12 and angle 11 are complementary.

measure of angle 10 + measure of angle 11 = 90 degrees.

PROVE: angle 12 is congruent to angle 10.

Answer 1

Answer with Step-by-step explanation:

Since we have given that

Angle 12 and angle 11 are complementary.

Mathematically, it is expressed as

`\angle 12+\angle 11=90^\circ` ------------(1)

measure of angle 10 + measure of angle 11 = 90 degrees.

Mathematically, it is expressed as

`\angle 10+\angle 11=90^\circ` ----------------(2)

From eq(1), and eq(2), we get that

`\angle 12+\angle 11=\angle 10+\angle 11\\\\\angle 12=\angle 10`

Hence, angle 12 is congruent to angle 10.