Answer:
m∠a = 110°
m∠b = 110°
m∠c = 70°
m∠d = 70°
m∠i = 110°
m∠h = 110°
m∠j = 70°
m∠g = 110°
m∠f = 70°
m∠e = 70°
m∠k = 57°
m∠m = 70°
m∠l = 167°
Step-by-step explanation:
Let the measure of the yellow angle = 110°
Therefore;
m∠a = 110° by vertically opposite angles
m∠b = m∠a = 110° by opposite interior angles of a parallelogram
m∠c = 180° - 110° = 70° by same side interior angles
m∠d = m∠c = 70° by opposite interior angles of a parallelogram
m∠i and m∠c are supplementary angles, therefore, m∠i = 110°
m∠h = m∠i = 110° by vertically opposite angles
m∠j = m∠c = 70° by vertically opposite angles
m∠g and m∠d are supplementary angles, therefore, m∠g = 110°
m∠f = m∠d = 70° by alternate interior angles
m∠f = m∠e = 70° by vertically opposite angles
m∠k = 180° - (m∠h + 13°) = 180° - (110° + 13°) = 57°
m∠b and m∠m are supplementary angles, therefore, m∠m = 70°
m∠l and 13° are supplementary angles, therefore, m∠l = 167°
