A, b, c and d are points on the circumference of a circle, centre o. ed is a tangent to the circle. angle odb = 25 degrees. work out angle bad. you must give a reason for each stage of your working.

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Flo Rahl asked Nov 12, 2023

106,658 views

44 votes

A, b, c and d are points on the circumference of a circle, centre o.

ed is a tangent to the circle.
angle odb = 25 degrees.
work out angle bad.
you must give a reason for each stage of your working.

Mathematics
high-school

Flo Rahl asked Nov 12, 2023

by Flo Rahl

2.9k points

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1 Answer

22 votes

Arc DB measures 25 degrees (the measure of a central angle is equal to the measure of the arc it intercepts)
Angle BAD measures 12.5 degrees (an angle inscribed in an arc has half the measure of the arc it is inscribed in)