Question

In the figure below, ΔABC is an isosceles triangle with vertex angle C and segment CD is tangent to the circle. If angle ACD measures 80 degrees, which is the measure of arc AB?


Answer 30 degrees
35 degrees
45 degrees
40 degrees

Answer 1

40 Degrees why? Because when you look at the picture, ACD is congrunent to BCD (If tangent D kept going- not stopping at point C.)
That gives us that b.c ACD = 80 BCD has to equal 80 as well.

Then we add 80+80 = 160 and sunbstract that by 180 (degree of the line) = 20. However we need to find teh arc measurement, so we have to DOUBLE 20 which =s 40

Answer 2

omg thnk you so much

Answer 3

Antime! :)

Answer 4

i do not get circles they are so confusing can you help me with 2 more problems

Answer 5

I'll try..Its been a while since I did Geometry..Not exactly remember every concept in it..But worth a try :)

Answer 6

ok thnx