Math, asked by injarapuvsk, 1 month ago

The angles of a quadri lateral are
in the ratio 3:5:4:6 find the
measure of each of the four
angles.


please solve it fast​

Answers

Answered by baladeb2005
1

Answer:

60° , 100°, 80°, 120°.

Step-by-step explanation:

HOPE U GET IT

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Answered by AllenGPhilip
8

Answer:

Step-by-step explanation:

Given , the angles of a quadrilateral ABCD are in the ratio 3:5:4:6

Let ∠A = 3x  ∠B = 5x  ∠C = 4x  ∠D = 6x

In a quadrilateral ∠A+∠B+∠C+∠D = 360°

⇒ 3x + 5x + 4x + 6x = 360°

⇒ 18x = 360

⇒ x = 360 ÷ 18 = 20

So , the angles of the quadrilateral are

∠A = (3 × 20)° = 60°

∠B = (5 × 20)° = 100°

∠C = (4 × 20)° = 80°

∠D = (6 × 20)° = 120°

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