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.

Question

asked Jan 24, 2020 109k views

1 Answer

Stephen Peterson · Answer 1 · 2020-01-27T18:22:45+0000

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.