Question #58bc7

1 Answer
Oct 11, 2017

#108# degrees

Explanation:

Angle ABC = Angle ABD + Angle DBC

Since triangle BCD is equilateral, all of it's angles must be #60# degrees. So I know that angle DBC is #60# degrees.

Since triangle ABD is isosceles, angle BAD is the same as angle BDA (#66# degrees).

To find angle ABD, we have to use the Triangle Angle Sum Theorem that tells us the interior angles of a triangle add up to #180# degrees.

So:

#66+66+ABD=180->132+ABD=180->ABD=48#

Thus angle #ABC=48+60=108#