Are the abutments ABC = 56 degrees and KMT = 124 degrees adjacent? Under what condition will DOE

Are the abutments ABC = 56 degrees and KMT = 124 degrees adjacent? Under what condition will DOE and DOF = 105 degrees be adjacent?

1. The sum of adjacent angles is 180⁰.

2. Let us find whether the angles ABC and KMT are adjacent by adding their degree measures, if the sum is equal to 180⁰, then the angles are adjacent.

124 + 56 = 180⁰ angles ABC and KMT are adjacent.

3. Let us find under what condition the angle DOE and the angle DOF = 105⁰ will be adjacent, that is, the sum of these angles should be 180⁰, so the degree measure of the DOE angle should be

180 – 105 = 75⁰ should be the degree measure DOE.

Answer: angles ABC and KMT are adjacent; under the condition the angle DOE is equal to 75⁰.