Let's begin with recalling the Exterior Angle Inequality Theorem. This theorem tells us that the measure of an exterior angle of a triangle is greater than the measure of either of its corresponding remote interior angles.
Now, let's look at the given picture. As we can see, ∠3 and ∠5 are exterior angles of a triangle containing ∠10. Therefore, the measures of angles 3 and 5 are greater than the measure of ∠10.
There are two angles, 3 and 5, that have greater measure than ∠10. Notice that ∠1 is not an exterior angle of a triangle containing ∠10 and we cannot use the recalled theorem.
