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8090 [49]
2 years ago
6

Triangle angle sun theorem what the value of y? I will give brainlist

Mathematics
1 answer:
hichkok12 [17]2 years ago
3 0

Answer:

y = 7°

Step-by-step explanation:

By interior angle sum theorem of a triangle.

51 \degree + 87 \degree + 6y = 18 \degree \\  \\ \implies 138 \degree+ 6y = 18 0\degree \\  \\  \implies  6y = 180 \degree  - 138 \degree  \\  \implies  6y = 42 \degree  \\  \\ \implies  y =  \frac{42 \degree}{6}  \\  \\  \huge \red{\implies  y =7 \degree} \\  \\

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Solution (1) using angles of sectors:

Area of A = pi r^2  x 90/360 = 4.9

Area of B = pi r^2 x 270/360 = 14.2 


Check:  Area of A/B = 4.9/14.72 = 1/3 (as given)

Solution (2) using given info:

Area of B + Area of A = area of circle

Area of B + 1/3 Area of B =  3.14 * (2.5)^2 = 19.625

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Area of B = 3/4 * 19.625

Area of B = 14.72

Area of A = 1/3 * 14.72 = 4.9

There is more solutions to this problem , like polar coordinate integration , and so on. for more just request. 



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