Question

A pentagon has interior angles of 104°,

108° and 112°. If the remaining two angles
are equal, what is their size in degrees?

Answer 1

108

Explanation:

Interior angles in a pentagon add up to 540 degrees. So we first need to find the total sum of all the known angles. We do this by calculating 104+108+112=324.

Now we need to find the total sum of the unknown angles, and we do this buy calculating 540-324=216.

The final step is to find the size of one of the 2 remaining angles, and since we know they are equal, we just have to divide by 2. So, 216/2=108. This is our final answer.