Question

Olive makes plaques like the one shown. Find m<1, m<2, m<3, so he can cut the pieces of the plaque. a) m<1 = 67°, m<2 = 113°, m<3 = 140° b) m<1 = 113°, m<2 = 67°, m<3 = 140° c) m<1 = 140°, m<2 = 67°, m<3 = 113° d) m<1 = 140°, m<2 = 113°, m<3 = 67°

Answer 1

The measure of the angles in the plaque are;

m∠1 = 113°

m∠2 = 67°

m∠3 = 113°

What the measure of the angles?

m∠1 + 67° = 180°

Supplementary angles (sum of angles on a straight line = 180°)

m∠1 = 180° - 67°

m∠1 = 113°

m∠2 = 67° (vertical opposite angles are equal)

m∠3 = 113° (vertical opposite angles are equal

Hence, the measure of the angles are found by using the complementary angles principle and vertical opposite angles principle.