Question

In the given figure find the value of x
i)40
ii)45
iii)50
iv)55

Answer 1

Answer:

55 is the answer

Step-by-step explanation:

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Answer 2

x = 40

$\bf\huge\underline{\underline{ Answer :- }}$

CONSIDER LINE AB

• $\angle$ AOD + $\angle$ COD + $\angle$ BOC = 180 °

• $\red{\implies}$ 45° + 2x + x + 15 ° = 180°

• $\red{\implies}$ 3x + 60 ° = 180°

• $\red{\implies}$ 3x = 180 - 60°

• $\red{\implies}$ 3x = 120 °

• $\red{\implies}$ x = 40 °

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PROOF

• $\angle$ AOD + $\angle$ COD + $\angle$ BOC = 180 °

• $\angle$ AOD = 45°

• $\angle$ COD = 2 × 40= 80°

• $\angle$ BOC = x + 15 = 55°

• $\red{\implies}$ 45 + 80 + 55 = 180°

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