Find the sizes of the three unknown angles in the image below.

Question

Give your answers in degrees.
34 degrees

Answer 1

First, we need to recognize that the two smaller angles at the bottom of the triangle are equal, since they are opposite equal sides. Therefore, each of those angles is:

180 - 90 - 34 = 56 degrees

Next, we can use the fact that the angles in a triangle add up to 180 degrees to find the remaining angle at the top of the triangle:

180 - 56 - 56 = 68 degrees

So the three unknown angles are:

56 degrees, 56 degrees, and 68 degrees.