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Can someone please help me find the measure of angle ABO?

Can someone please help me find the measure of angle ABO?-example-1

1 Answer

5 votes

Answer:

m<ABO = 22 deg

Explanation:

A tangent intersects a circle at the point of tangency making a right angle with the radius drawn to that point. That means that <BAO is a right angle and measures 90 deg. That makes the other two angles of the triangle complementary with a sum of 90 deg.

m<O + m<B = 90

68 + m<B = 90

m<B = 22

Answer: m<ABO = 22 deg

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