Find the measures of four angles of a quadrilateral if they
ratio 2:4:6:8
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Answer:
✬ Angles = 36° , 72° , 108° , 144° ✬
Step-by-step explanation:
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
As we know that
★ 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°
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