lydiaandclio lydiaandclio
  • 16-09-2021
  • Mathematics
contestada

The angles in a
quadrilateral are in the
ratio 3:2:2:5
What is the size of the
biggest angle?

Respuesta :

jimrgrant1 jimrgrant1
  • 16-09-2021

Answer:

150°

Step-by-step explanation:

The sum of the angles in a quadrilateral = 360°

Divide by the sum of the parts of the ratios to find the value of one part of the ratio.

sum of parts , 3 + 2 + 2 + 5 = 12 parts

360° ÷ 12 = 30° ← value of 1 part of the ratio , then

3 parts = 3 × 30° = 90°

2 parts = 2 × 30° = 60°

5 parts = 5 × 30° = 150°

The largest angle in the quadrilateral is 150°

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