Two straight roads cross. Going clockwise the four angles are $p, q$ , r, s.
Given that $p$ and r are vertically opposite, $q$ and s are vertically opposite, $p = 4 q$ , find $q$ .

Question

Two straight roads cross. Going clockwise the four angles are p, q, r, s. Given that p and r are vertically opposite, q and s are vertically opposite, p = 4q, find q.

Accepted Answer

36. p and q are adjacent (linear pair): p + q = 180. With p = 4q: 4q + q = 180, 5q = 180, q = 36°.

Two straight roads cross. Going clockwise the four angles are $p, q$ , r, s.
Given that $p$ and r are vertically opposite, $q$ and s are vertically opposite, $p = 4 q$ , find $q$ .

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 7 Adjacent and Vertically Opposite Angles practice

Two straight roads cross. Going clockwise the four angles are p,q, r, s.Given that p and r are vertically opposite, q and s are vertically opposite, p=4q, find q.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 7 Adjacent and Vertically Opposite Angles practice

Two straight roads cross. Going clockwise the four angles are $p, q$ , r, s.
Given that $p$ and r are vertically opposite, $q$ and s are vertically opposite, $p = 4 q$ , find $q$ .