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Anonymous asked in Science & MathematicsMathematics · 1 decade ago

# BD and BA are tangents to the circle, which has centre O, find angle AEC,EAC, and ECD (picture diagram)?

BD and BA are tangents to the circle, which has centre O, and angle BCA = 55 degrees.

Find the measures of angle AEC, EAC, and ECD.

angle AEC = ____ degrees

angle EAC = ____ degrees

angle ECD = ____ degrees

http://s741.photobucket.com/albums/xx52/DefinetheG...

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AEC = 55 degrees

EAC = 35 degrees

Since angles BAD = 90 degree (tangents are perpendicular to radius)

And BAC = 55 degree (angles of isosceles triangle)

So, EAC = 90 -55 = 35

ACE = 90 degree ( angle on one side of diameter)

ECD = 35 degrees

Source(s): www.excellup.com
• m <5 = 40 ------------------ attitude 5 is shaped by making use of two tangents interested in a circle from an outdoors factor. Its degree is a million/2 the adaptation of the foremost arc and the minor arc the attitude cuts off. m<5 = (a million/2) [ (arc BD + arc FD ) - arc BF ] m<5 = (a million/2) [ one hundred forty + 80 - one hundred forty ] m<5 = (a million/2) [ 80 ] m>5 = 40

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