Question 33 In the given figure- a -40- The value of b isb 24-c 36-d 120-

Form the given figure it is clear that, 2a + 5b =180^∘ ⇒ 2 × 40^∘ + 5b = 180^∘ ⇒ 80^∘ + 5b = 180^∘ ⇒ 5b = 180^∘ 80^∘ ⇒ 5b = 100^∘ ⇒ b = 100^∘/5 ∴ nbsp;b = 20 ...

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Standard VIII

Mathematics

Exterior Angle Theorem

Question 33 I...

Question

Question 33

In the given figure, $a = 40^{\circ}$ . The value of b is

(a) $20^{\circ}$
(b) $24^{\circ}$
(c) $36^{\circ}$
(d) $120^{\circ}$

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Solution

Form the given figure it is clear that,
2a + 5b = $180^{\circ}$
$\Rightarrow 2 \times 40^{\circ} + 5 b = 180^{\circ} \Rightarrow 80^{\circ} + 5 b = 180^{\circ} \Rightarrow 5 b = 180^{\circ} - 80^{\circ} \Rightarrow 5 b = 100^{\circ} \Rightarrow b = \frac{100^{\circ}}{5} ∴ b = 20^{\circ}$

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Question 33

In the given figure, $a = 40^{\circ}$ . The value of b is

(a) $20^{\circ}$
(b) $24^{\circ}$
(c) $36^{\circ}$
(d) $120^{\circ}$

Question 40

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∠ A C D = 120^{\circ}

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Question 19

In the given figure, BC = CA and $∠ A = 40^{\circ}$ . Then, $∠ A C D$ is equal to

a) $40^{\circ}$
b) $80^{\circ}$
c) $120^{\circ}$
d) $60^{\circ}$

In the given figure, $∠ C A E = 84^{\circ}$ . If $∠ B : ∠ C = 3 : 4,$ then $∠ B$ = ___ and $∠ C$ = ___,

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Exterior Angle Theorem

Standard VIII Mathematics

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Question 33 In the given figure, a=40∘. The value of b is (a) 20∘ (b) 24∘ (c) 36∘ (d) 120∘

Form the given figure it is clear that, 2a + 5b =180∘ ⇒2×40∘+5b=180∘⇒80∘+5b=180∘⇒5b=180∘−80∘⇒5b=100∘⇒b=100∘5∴b=20∘

Question 33

In the given figure, $a = 40^{\circ}$ . The value of b is

(a) $20^{\circ}$
(b) $24^{\circ}$
(c) $36^{\circ}$
(d) $120^{\circ}$

Form the given figure it is clear that,
2a + 5b = $180^{\circ}$
$\Rightarrow 2 \times 40^{\circ} + 5 b = 180^{\circ} \Rightarrow 80^{\circ} + 5 b = 180^{\circ} \Rightarrow 5 b = 180^{\circ} - 80^{\circ} \Rightarrow 5 b = 100^{\circ} \Rightarrow b = \frac{100^{\circ}}{5} ∴ b = 20^{\circ}$