oogabooga054 oogabooga054
  • 11-08-2021
  • Mathematics
contestada

The size of the angles of a quadrilateral are in the ratio
1:2:3:3. Calculate the size of each angle.

Respuesta :

jimrgrant1 jimrgrant1
  • 11-08-2021

Answer:

40°, 80°, 120°, 120°

Step-by-step explanation:

sum the parts of the ratio, 1 + 2 + 3 + 3 = 9 parts

The sum of the interior angles of a quadrilateral is 360°

Divide this by 9 to find the value of one part of the ratio.

360° ÷ 9 = 40° ← value of 1 part of the ratio

Then

2 parts = 2 × 40° = 80°

3 parts = 3 × 40° = 120°

The 4 angles are 40°, 80°, 120°, 120°

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