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In the figure, angle ABC = 2x-65° and reflex angle AOC = 3x. Find x.​

In the figure, angle ABC = 2x-65° and reflex angle AOC = 3x. Find x.​-example-1
User Kuryaki
by
5.1k points

1 Answer

6 votes

Answer:

x = 70

Explanation:

The measure arc AC is twice as angle B

The center angle that sees arc is equal to the arc it sees

<B = 2x - 65 so the measure of arc AC is 4x - 130 since this is gonna complete 3x to 360°

4x - 130 + 3x = 360°

7x = 490

x = 70

In the figure, angle ABC = 2x-65° and reflex angle AOC = 3x. Find x.​-example-1
User Keith Johnston
by
5.3k points
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