Question

the four angles of a quadrilateral are in the radio 3:4:5:6. find the angle​

Answer 1

Step-by-step explanation:

3x+4x+5x+6x =360

18x=360

x=360/18

x=20

Answer 2

$\huge\green{\underline{\underline{Solution}}}$ ------------>

Let the common multiple be $\huge\red{x}$

$\orange{\underline{\underline{Therefore}}}$

3x + 4x + 5x + 6x = 360° ......... [Angle-sum Property]

18x = 360°

$x = \frac{360}{18} \\ \\ x = 20$

The angles are 3x, 4x, 5x & 6x

$\orange{\underline{\underline{Therefore}}}$

The angles are -

• 3x = 3 × 20 = 60°
• 4x = 4 × 20 = 80°
• 5x = 5 × 20 = 100°
• 6x = 6 × 20 = 120°

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