Question

If mAngle3 = 29°, what is mAngle4?

Answer 1

Please consider the attached graph.

We have been given that measure of angle 3 is 29°. We are asked to find the measure of angle 4.

Upon looking at our diagram, we can see that angle 3 and angle 4 are linear angles.

We know that linear angles add up-to 180 degrees, so the sum of measure of angle 3 and angle 4 will be 180 degrees.

$m\angle 3+m\angle 4=180^{\circ}$

$29^{\circ}+m\angle 4=180^{\circ}$

$29^{\circ}-29^{\circ}+m\angle 4=180^{\circ}-29^{\circ}$

$m\angle 4=151^{\circ}$

Therefore, the measure of angle 4 is 151 degrees.