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A,B,C,D are points on the circumference of a circle centre o
ed is a tangent to the circle
angle odb = 25
work out angle bad

ABCD Are Points On The Circumference Of A Circle Centre O Ed Is A Tangent To The Circle Angle Odb 25 Work Out Angle Bad class=

Sagot :

The points A,B,C,D make up the circumference of the circle

The measure of angle BAD is 65 degrees

How to determine the measure of angle BAD?

The measure of angle ODB is given as:

ODB = 25 degrees

Considering the triangle BOD, we have:

ODB + BOD + DBO = 180

Where:

ODB = DBO = 25

So, we have:

25 + BOD + 25 = 180

Solve for BOD

BOD = 130 degrees

The angle at an arc is twice the angle at the circumference.

So, we have:

BOD = 2 * BAD

Substitute 130 for BOD

130 = 2 * BAD

Divide both sides by 2

65 = BAD

Hence, the measure of angle BAD is 65 degrees

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