Math, asked by shwetal18, 1 month ago

please answer by solving.​

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Answered by parthinaparthiban
3

Answer:

answer is 150⁰ I hope it will help ☺️☺️

Answered by TrustedAnswerer19
10

Answer:

Option b) 140° is the correct answer.

Given,

 \:  \:  \:  \:  \:  \: a =  \frac{4b}{5}  \\ \implies \: 4b = 5a \\ \implies \: b =  \frac{5a}{4}  \\  \\  \Delta \: ABC \: \implies \:  \:  \\   \:  \:  \:  \:  \:  \:  \: \angle \: A \:  +  \angle \: B +  \angle \: C = 180 \\ \implies \: 90 + a + b= 180 \\ \implies \: 90 + a +  \frac{5a}{4}  = 180 \\ \implies \: a +  \frac{5a}{4}  = 180 - 90 = 90 \\ \implies \:  \frac{4a + 5a}{4}  = 90 \\ \implies \: 9a = 90 \times 4 = 360 \\ \implies \: a =  \frac{360}{9}  \\ \implies \: a = 40 \:  \\  \\  \: now \:  \\  \\  \: \:  \:  \:  \:  x + a = 180 \\ \implies \:  \: x = 180 - a \\ \implies \: x = 180 - 40 \\  \implies \: x = 140

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