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
- 1 decade agoFavorite Answer
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 degreesSource(s): www.excellup.com
- patchellLv 44 years ago
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