SOLUTION: <img src="http://media01.switchedononline.com/a_matgeo_2009/6/group110.gif"> If angle ADB = 70 degrees, then what does angle ABD, arc AB, and arc AD equal? Thanks!

Algebra ->  Circles -> SOLUTION: <img src="http://media01.switchedononline.com/a_matgeo_2009/6/group110.gif"> If angle ADB = 70 degrees, then what does angle ABD, arc AB, and arc AD equal? Thanks!      Log On


   

Question 348741:
If angle ADB = 70 degrees, then
what does angle ABD, arc AB, and arc AD equal?
Thanks!
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Since BD is a diameter of the circle (as indicated by the center point through which BD passes, triangle ABD is a right triangle with angle DAB as the right angle. That means that angle ADB and angle ABD are complementary. Futhermore, the measure of an arc is the same as the measure of the subtended angle.

John

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