Question Type 1: Finding angles using bearings Exercises

In triangle ABC, the bearing of B from A is $330^\circ$ and the bearing of C from B is $120^\circ$. Determine the interior angle $\angle ABC$.

In triangle ABC, the bearing of B from C is $210^\circ$ and the bearing of A from C is $020^\circ$. Calculate the interior angle $\angle ACB$.

The bearing of T from P is $40^\circ$ and the bearing of U from T is $160^\circ$. Find the interior angle $\angle PTU$.

In triangle ABC, the bearing of B from A is $085^\circ$ and the bearing of C from B is $200^\circ$. Find the interior angle $\angle ABC$.

In triangle ABC, the bearing of C from A is $250^\circ$, and the bearing of B from C is $190^\circ$. Determine the interior angle $\angle ACB$.

In triangle ABC, the bearing of B from A is $050^\circ$ and the bearing of C from B is $170^\circ$. Calculate the interior angle $\angle ABC$.

At point P, the bearing of Q from P is $045^\circ$ and the bearing of R from P is $150^\circ$. Find the interior angle $\angle QPR$.

Points P, Q, and R form a triangle. The bearing of Q from P is $025^\circ$, the bearing of R from P is $145^\circ$, and the bearing of R from Q is $195^\circ$. Calculate $\angle PQR$.

In triangle ABC, the bearing of B from A is $065^\circ$ and the bearing of C from A is $215^\circ$. Calculate the interior angle $\angle BAC$.

In triangle ABC, the bearing of A from B is $300^\circ$ and the bearing of C from B is $070^\circ$. Find the interior angle $\angle ABC$.

In triangle ABC, the bearing of B from A is $090^\circ$, the bearing of C from A is $170^\circ$, and the bearing of C from B is $220^\circ$. Find all three interior angles of triangle ABC.

In triangle ABC, the bearing of B from A is $55^\circ$ and the bearing of C from B is $160^\circ$. Find the interior angle $\angle ABC$.