A quadrilateral has two angles that measure 10° and 70°. The other two angles are in a ratio of 3:11. What are the measures of those two angles?

The measures of those two angles are 60° and 220°

Step-by-step explanation:

Let us solve the question

∵ A quadrilateral has two angles that measure 10° and 70°

→ By using the rule above, subtract their measure from 360

∴ The sum of the other two angles = 360° - 10° - 70°

∴ The sum of the other two angles = 280°

∵ The other two angles are in a ratio of 3: 11

→ Find the sum of the parts of the ratio

∵ The sum of the parts of the ratio = 3 + 11 = 14

∵ The sum of the measures of these 2 angles is 280°

→ By using the ratio method

→ m∠1 : m∠2   :  their sum

→ 3      :  11       :  14

→ x      :  y        :  280°

→ By using cross multiplication

∵ x × 14 = 3 × 280

∴ 14x = 840

→ Divide both sides by 14

∴ x = 60

∴ m∠1 = 60°

∵ y x 14 = 11 x 280

∴ 14y = 3080

→ Divide both sides by 14

∴ y = 220

∴ m∠2 = 220°

∴ The measures of those two angles are 60° and 220°

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step-by-step explanation:

step-by-step explanation:

at each of the parallel lines adjacent angles are supplementary. the angles have special names identifying their positions with respect to the parallel lines and transversal. they are corresponding angles, alternate interior angles, or alternate exterior angles. an angles is congruent to its matched angle.