lines a and b are parallel lines cut by transversal f. if m∠1 = 110°, what is m∠4? 20° 70° 110° 130°
lines a and b are parallel lines cut by transversal f. if m∠1 = 110°, what is m∠4? 20° 70° 110° 130°
Answer
Explanation:
Step1: Identify angle - relationship
$\angle1$ and $\angle4$ are supplementary angles (linear - pair).
Step2: Use supplementary - angle formula
The sum of supplementary angles is $180^{\circ}$. Let $m\angle1 = 110^{\circ}$ and $m\angle4=x$. Then $m\angle1 + m\angle4=180^{\circ}$, so $x = 180^{\circ}-m\angle1$.
Step3: Calculate $m\angle4$
Substitute $m\angle1 = 110^{\circ}$ into the formula: $m\angle4=180^{\circ}-110^{\circ}=70^{\circ}$.
Answer:
B. $70^{\circ}$