letters a, b, c, and d are angle measures. which should equal 105° to prove that f || g? a b c d
letters a, b, c, and d are angle measures. which should equal 105° to prove that f || g? a b c d
Answer
Explanation:
Step1: Recall the property of supplementary angles
If two lines are parallel, then consecutive interior angles are supplementary. The angle of (75^{\circ}) and (d) are consecutive interior angles.
Step2: Calculate the value of (d) for parallel lines
If (f\parallel g), then (75^{\circ}+d = 180^{\circ}) (consecutive - interior angles). Solving for (d), we get (d=180^{\circ}- 75^{\circ}=105^{\circ}).
Answer:
d