Question

In the given figure, AOB is a straight line and the ray OC stands on it. If ∠AOC = (2x - 25)° and ∠BOC = (3x+5)°, find the value of x. Also find ∠AOC and ∠BOC.



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Answer 1

Answer:

where are figure

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Answer 2

Step-by-step explanation:

(2x - 25°) + (3x + 5) = 180° [LINEAR PAIR]

(2x + 3x) + (- 25 + 5) = 180°

(5x) + (- 20) = 180°

5x = 180° + 20°

5x = 200°

x = 200°

5

x = 40°

AOC = (2)(40) - 25°

AOC = 55°

BOC = (3)(40) + 5°

BOC = 125°

VERIFICATION:

AOC + BOC = 180°

55° + 125° = 180°

Hence verified....

The attached file contains the figure which I have taken for solving this question

Hope this answer is helpful.......