Which expression is equivalent to Measure of angle 4?

Question

A triangle has angles 1, 2, 3. The exterior angle to angle 1 is 4, to angle 2 is 5, to angle 3 is 6.
Measure of angle 2 + measure of angle 3
Measure of angle 1 + measure of angle 2
Measure of angle 1 + measure of angle 3
Measure of angle 5 + measure of angle 6

Answer 1

In a triangle, the exterior angle is equal to the sum of the two opposite interior angles.

For angle 4, which is the exterior angle corresponding to angle 1, we can express this relationship as:

\[ \text{Measure of angle 4} = \text{Measure of angle 2} + \text{Measure of angle 3} \]

So, the correct expression equivalent to the measure of angle 4 is:

Measure of angle 2 + measure of angle 3.