Answer:
Q11: Angle 1 = 100°, Angle 2 = 80°, Angle 3 = 100°
Q12: Angle 1 = 47°, Angle 2 = 133°, Angle 3 = 47°
Q13: Angle 1 = 80°, Angle 2 = 80°, Angle 3 = 100°
Q14: Angle 1 = 94°, Angle 2 = 86°, Angle 3 = 94°
Explanation:
Q11:
A parallelogram is shown. One property is the angles on the same side are supplementary, meaning that they add up to 180°.
Angle 1 = 180 - 80 = 100° (supplementary angles)
Another property is its opposite angles are equal.
Angle 2 = 80°
Angle 3 = Angle 1 = 100°
Q12:
Angle 1 = 180 - 133 = 47° (corresponding angles, sum of adjacent angles on a straight line=180)
Angle 2 = 133° (corresponding angles, vertically opposite angles)
Angle 3 = Angle 1 = 47° (alternate angles)
Q13:
Angle 1 = 180 - 100 = 80° (corresponding angles, sum of adjacent angles on a straight line=180)
Angle 2 = Angle 1 = 80° (corresponding angles)
Angle 3 = 100° (vertically opposite angles)
Q14:
Angle 1 = 180 - 86 = 94° (supplementary angles)
Angle 2 = 86° (corresponding angles)
Angle 3 = Angle 1 = 94° (corresponding angles, alternate angles)