Question

the angles of a quadrilateral are in the ratio 6:8:10:12 find the measure of all the angles​

Answer 1

Answer:

60, 80, 100, 120

Step-by-step explanation:

let the angles of quadrilaterals be 6x, 8x, 10x, 12x

we know that,

sum of all angles of quardrilateral is 360

$6x + 8x + 10x + 12x = 360 \\ 36x = 360 \\ x = 360 \div 36 \\ x = 10$

now the angle = 6x= 6×10=60

8x = 8×10 = 80

10x = 10 ×10 = 100

12x = 12 × 10 = 120

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Answer 2

ᗩᑎՏᗯᗴᖇ -

The measure of angles is -

• 6x = 6 × 10 = 60°
• 8x = 8 × 10 = 80°
• 10x = 10 × 10 = 100°
• 12x = 12 × 10 = 120°

ᗴ᙭ᑭᒪᗩᑎᗩTIOᑎ -

Let the common multiple be x

$\blue{\underline{\underline{\mathscr{Therefore,}}}}$

6x + 8x + 10x + 12x = 360° ........... [Angle-sum Property]

36x = 360°

$x = ( \frac{360}{6} ) { }^{o}$

$x = 10$

$\green{\underline{\underline{\mathscr{Therefore,\:the \:angles\: are -}}}}$

• 6x = 6 × 10 = 60°
• 8x = 8 × 10 = 80°
• 10x = 10 × 10 = 100°
• 12x = 12 × 10 = 120°

HoPe iT HeLpS YoU ♥️♥️♥️