Find the area of the triangle having the given measurements.
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Answer:
Step-by-step explanation:
Arc BC is the intercepted arc for the central angle COB, so its measure is the <u>same</u> as the central angle.
Angle 2 is an inscribed angle, so its measure is <u>half</u> the measure of the intercepted arc BC.
Angles 3 and 4 are congruent inside an isosceles triangle (OB = OC, both radii), and the sum of all angles in triangle COB is 180 degrees, so
180 - 32 = 148 (sum of angles 3 and 4)
Each of angles 3 and 4 measure half that remaining 148 degrees.
Angle 5 is one of two congruent angles in an isosceles triangle AOC (OA = OC) so its measure is that of angle 2.
