Question

Q. In the following figure if a = 40°, then what is the value of b ?​

Answer 1

ANSWER:

Value of b = 20°

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Given :

In the following figure if a = 40°, then what is the value of b

• a = 40°

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SOLUTION:

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Let's find !

5b + 2a = 180°

(linear pair)

a = 40°

5b + 2(40) = 180°

5b + 80° = 180°

5b = 180° - 80°

b = $\frac{100°}{5}$

b = 20°

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Therefore , the value of b = 20°

Answer 2

Answer:

If a = 40° then b = 20°.

Step-by-step explanation:

$the \: angles \: are\: supplementary$

$2a + 5b = 180 {}^{o}$

$if \: a = 40 {}^{o} \: then \: the \: value \: of\: 2a = 80 {}^{o}$

$80 + 5b = 180$

$5b = 180 - 80$

$5b = 100$

$b = \frac{100}{5}$

$b = 20 {}^{o}$

Hope it Helps.

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