Two lines cross at O forming four angles. Going around, the angles are p, q, p, q (vertically opposite pairs equal). If p is 36° more than q,
find the measure of p.

Question

Two lines cross at O forming four angles. Going around, the angles are p, q, p, q (vertically opposite pairs equal). If p is 36° more than q, find the measure of p.

Accepted Answer

108. Adjacent angles p and q form a linear pair: p + q = 180. Also p = q + 36. So (q + 36) + q = 180, 2q = 144, q = 72, and p = 108°.

Two lines cross at O forming four angles. Going around, the angles are p, q, p, q (vertically opposite pairs equal). If p is 36° more than q,
find the measure of p.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 7 Pairs of Angles practice

Two lines cross at O forming four angles. Going around, the angles are p, q, p, q (vertically opposite pairs equal). If p is 36° more than q,find the measure of p.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 7 Pairs of Angles practice

Two lines cross at O forming four angles. Going around, the angles are p, q, p, q (vertically opposite pairs equal). If p is 36° more than q,
find the measure of p.