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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°

User JoeBe
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1 Answer

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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.

Olive makes plaques like the one shown. Find m<1, m<2, m<3, so he can cut-example-1
User Jonathan Lidbeck
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