Question

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

Answer 1

Answer:

x = 70

Step-by-step 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