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Evgesh-ka [11]
3 years ago
12

Find the measure of angel 3

Mathematics
1 answer:
Elena-2011 [213]3 years ago
8 0

Answer:

100

Step-by-step explanation:

Remark

If two opposite arcs are given by being opposite vertically opposite angles, then the value of both the vertically opposite angles are equal to

Vertically opposite angle = 1/2 (arc1 + arc2)

Givens

Arc1 = 60

Arc2 = 100

Solution

The red dot angle = 1/2 (60 + 100)

The red dot angle = 1/2(160)

The red dot angle = 80

Because the red dot angle and <3 are on the same line with the same common point, they are supplementary.

<3 and red dot = 180

<3 + 80 = 180                          Subtract 80 from both sides

<3 = 180 - 80

<3 = 100

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