Question

Which angle has the greater measure?
A. angle A
B. angle E
C. angle C
D. The angles are congruent

Answer 1

angle A because exterior angles are larger than the interior angles

Answer 2

@nikato, you have the correct answer but the wrong reason.
Look in figure below. Exterior angle 1 is larger than interior angle 2, so your statement is oncorrect.

Answer 3

^incorrect

Answer 4

There is a theorem that states:
In a triangle the measure of an exterior angle is equal to the sum of its two remote interior angles.

Answer 5

no, its an exterior angle is greater than each of its remote interior angle

Answer 6

That's better.
In this triangle, angle A is an exterior angle and angles E and C are its remote interior angles. Since m<A = m<C + m<E, that means m<A must be greater than m<C or m<E.