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How do I solve this? Its asking for the measure of CAB if ABC=32

How do I solve this? Its asking for the measure of CAB if ABC=32-example-1

1 Answer

6 votes

The triangle is an isoceles triangle because sides AB and AC measure the same lenght, the radius of the circle.

Therefore, angles ABC and BCA are equal and measure 32 degrees

The three ineer angles of a triangle add 180 degrees, so we can write:

angle ABC + angle BCA + angle CAB = 180

32 + 32 + angle CAB = 180

angle CAB = 180 - 32 - 32 = 116

Answer:

Angle CAB = 116 degrees

User Micke
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