bmarie1605 bmarie1605
  • 02-12-2020
  • Mathematics
contestada

two supplementary angles are in a ratio of 7:11. find the measures of each angle

Respuesta :

jimrgrant1 jimrgrant1
  • 02-12-2020

Answer:

70° and 110°

Step-by-step explanation:

Supplementary angles sum to 180°

sum the parts of the ratio, 7 + 11 = 18 parts

Divide 180° by 18 to find the value of one part of the ratio.

180° ÷ 18 = 10° ← value of 1 part, thus

7 parts = 7 × 10° = 70°

11 parts = 11 × 10° = 110°

The 2 angles are 70° and 110°

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