helahqaderi1234 helahqaderi1234

15-05-2022
Mathematics

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Given that A, O & B lie on a straight line segment, evaluate obtuse ∠AOC.

The diagram is not drawn to scale. < AOC=

Given that A O amp B lie on a straight line segment evaluate obtuse AOC The diagram is not drawn to scale lt AOC class=

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jimrgrant1 jimrgrant1

15-05-2022

Answer:

∠ AOC = 124°

Step-by-step explanation:

the 3 angles lie on a straight line and sum to 180°

sum the 3 angles and equate to 180

3x + 94 + x + 30 + 2x - 4 = 180

6x + 120 = 180 ( subtract 120 from both sides )

6x = 60 ( divide both sides by 6 )

x = 10

Then

∠ AOC = 3x + 94 = 3(10) + 94 = 30 + 94 = 124°

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