Question

Find the degree measure of each angle in the linear pairs of the following figures

please solve all the questions it's very urgent and please explain
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Answer 1

answer of question 14 second part.

Answer 2

Solution :-

(i)

we know that,

• sum of linear pair angles is equal to 180° .

so,

→ 3x + 2x = 180°

→ 5x = 180°

→ x = 36°

then,

→ ∠AOC = 3x = 3 * 36 = 108°

→ ∠BOC = 2x = 2 * 36 = 72°

(ii)

→ (2x - 10°) + (3x + 15°) = 180°

→ 2x + 3x + 15° - 10° = 180°

→ 5x = 180° - 5°

→ 5x = 175°

→ x = 35°

then,

→ ∠AOC = (2x - 10°) = 2 * 35° - 10° = 70° - 10° = 60°

→ ∠BOC = (3x + 15°) = 3 * 35° + 15° = 105° + 15° = 120°

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