Answer:
•₁ same side interior angles
•₂ m∠1 = 78°, m∠2 = 102°
•₃ oars are parallel, conversed the same side interior angles theorem
Step-by-step explanation:
•₁
The edge of the kayak is a transversal of lines created by oars. The angles are on the same side of transversal and between the oar-lines (inside the area between lines) so they are same side interior angles (or: consecutive interior angles)
•₂
x = 10
m∠1 = 6x + 18 = 6•10 + 18 = 78
m∠2 = 9x + 12 = 9•10 + 12 = 102
•₃
The measures of angles 1 and 2 add to 180° (102+78=180) so they are suplementary angles. It means the oar-lines are parallel.
Based on:
Conversed the Same Side Interior Angles Theorem: If two lines are cut by a transversal and the same side interior angles are supplementary, then the lines are parallel.
