Question

in the figure above, line l || m and line n || p. if the measure of ∠1 is 70°, what is the measure of ∠1 - half the measure of ∠2? (a) 10° (b) 15° (c) 20° (d) 45°

Explanation:

Step1: Find the measure of ∠2

Since line \(l\parallel m\) and line \(n\parallel p\), ∠1 and ∠2 are corresponding angles, so ∠2 = ∠1 = 70°.

Step2: Calculate ∠1 - \(\frac{1}{2}\)∠2

Substitute the values of ∠1 and ∠2 into the expression. ∠1 - \(\frac{1}{2}\)∠2=70°-\(\frac{1}{2}\times70^{\circ}\).
70° - 35° = 35°.

Answer:

35°