Question

Question #58bc7

Answer 1

`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`