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PLEASE HURRY Find the measures of the numbered angle

PLEASE HURRY Find the measures of the numbered angle-example-1
User Olivvv
by
6.9k points

1 Answer

3 votes

Answer:

90°

Explanation:

The sum of the arcs around the circle is ...

2x +4x +4x +2x = 360°

x = 360°/12 = 30°

The numbered angle is the average of the measures of the intercepted arcs, so is ...

(4x +2x)/2 = 3x = 3(30°) = 90°

The numbered angle is 90°.

User Petrina
by
7.2k points
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