Question

find the measure of four angles of a quadrilateral if they are in same ratio 2:4:6:8​

Answer 1

Answer:

Let the common factor be x,

As we know A.S.P (Angle sum property) of a quadrilateral is 360°.

so here 2x+4x+6x+8x=360°

20x=360°

x=360÷20

x=18°

1st angle-2×18°=36°

2nd angle-4×18°=72°

3rd angle-6×18°=108°

4rth angle-8×18°=144°

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Answer 2

Answer:

✬ Angles = 36° , 72° , 108° , 144° ✬

Given:

Ratio of angles of quadrilateral are 2 : 4 : 6 : 8

To Find:

What is the measure of each angle?

Solution: Let x be the common in given ratios. Therefore

➟ First angle = 2x

➟ Second angle = 4x

➟ Third angle = 6x

➟ Fourth angle = 8x

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★ Sum of all angles of Quadrilateral = 360° ★

A/q

⇒1st + 2nd + 3rd + 4th = 360°

⇒2x + 4x + 6x + 8x = 360

⇒20x = 360

⇒x = 360/20

⇒x = 18°

So, angles are

➛ First = 2x = 2(18) = 36°

➛ Second = 4x = 4(18) = 72°

➛ Third = 6x = 6(18) = 108°

➛ Fourth = 8x = 8(18) = 144°

★ Verification ★

➧ 36° + 72° + 108° + 144° = 360°

➧ 108° + 252° = 360°

➧ 360° = 360°