Angle 3 = 60°
Angle 4 = 60°
Step-by-step explanation:
To find angle 3 we have to use the straight angle that is formed with angle C. Angle C is the same value as angle 2 (120°) so all we have to do now is make an equation by subtracting angle C (120°) from 180°. 180°-120°=60°. So 60° is the value of angle 3.
Angle 4 is also 60° because it is the same angle as angle 3. So the value of angle 4 is 60°.
Another way to solve this problem (shown in the picture) is using the value of angle 1 (60°) and when you have the value 60° and there are triangles formed within the angle (highlighted in the picture) you know that all the angles within the triangle are going to be 60° because all angles within a triangle add up to 180°. So if we were to use this rule the equation would look like 60°+60°+60°=180°. Angle 3 in the green triangle would be equal to 60° because of the fact that one angle was already confirmed as being 60° so because of that all the angles in the triangle have to add up to 180° so the all the angles must be 60°. Angle 4 in the red triangle would also be equal to 60° for the same reason mentioned above.
So therefore the answer to this question is Angle 3 = 60° and Angle 4 = 60°
Hope this helps! If you have any more questions or you need further clarification please comment down below or message me! Good luck!
