Question

quadrilateral in ratio 2:3:5:8: find measure of angles
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Answer 1

Answer:

36°,54°,90°,144°

Step-by-step explanation:

sum of all angles of quadrilateral is 180°

2x+3x+5x+8x=180°

18x=180°

x=180/18

x=18°

2x=2×18=36°

3x=3×18=54°

5x=5×18=90°

8x=8×18=144°

Answer 2

$\huge\mathfrak{\color{orange}{\underline {\underline{Answer✤}}}}$

${\tt {\red {\underline{\underline {\large {Given}}}}}}$

• Ratio of Angles = 2:3:5:8

${\tt {\red {\underline{\underline {\large {To\: Find}}}}}}$

• All angles of quadrilateral

${\tt {\red {\underline{\underline {\large {Solution}}}}}}$

According to question,

➨ 2x + 3x + 5x + 8x = 360°

➨ 18x = 360°

➨ x = 360° / 18

➨x = 20°

Angles of quadrilateral,

➔ 2x

= 2 × 20

= 40°

➔3x

= 3 × 20

= 60°

➔5x

= 5 × 20

= 100°

➔8x

= 8 × 20

= 160°

Verification

➨ Sum of Angles = 360°

➨ 40° + 60° + 100° + 160° = 360°

➨R.H.S = L.H.S

hope it helps you.......✌✌