Question

in the figure shown, ∠4 is an exterior angle. what is another way ∠3 and ∠4 are related? angles 3 and 4 form a straight angle. that means m∠3 + m∠4 = 180°. what is m∠3? m∠3 = 70° + 50° + m∠3 = 180° an error has occurred. please enter a number.

Explanation:

Step1: Simplify the left - hand side equation

Given $70^{\circ}+50^{\circ}+m\angle3 = 180^{\circ}$. First, add $70^{\circ}$ and $50^{\circ}$: $70 + 50=120$. So the equation becomes $120^{\circ}+m\angle3 = 180^{\circ}$.

Step2: Solve for $m\angle3$

Subtract $120^{\circ}$ from both sides of the equation $120^{\circ}+m\angle3 = 180^{\circ}$. We get $m\angle3=180^{\circ}- 120^{\circ}$.

Answer:

$60$