The measure of angle bac is 77 and the measure of angle acd is 127, what is the measure of angle abc?

The measure of angle ABC is 50°

Step-by-step explanation:

step 1

Find the measure of angle ACB

we know that

∠ACB+∠ACD=180° ----> by supplementary angles

see the attached figure to better understand the problem

∠ACB=180°-127°=53°

step 2

Find the measure of angle ABC

we know that

The sum of the interior angles of a triangle must be equal to 180 degrees

so

∠ABC+∠ACB+∠BAC=180°

substitute the given values

∠ABC+53°+77°=180°

∠ABC=180°-130°=50°

where r the answers

step-by-step explanation: