QuestionIn triangle ABC, the size of angle $B$ is 5 times the size of angle $A$, and the size of angle $C$ is $13^{\circ}$ less than 4 times the size of angle $A$.
Find the size of the angles.

Studdy Solution
Calculate the size of angle $C$. $$C = 4A - 13^\circ$$ $$C = 4 \times 19.3^\circ - 13^\circ$$ $$C = 77.2^\circ - 13^\circ$$ $$C = 64.2^\circ$$
The sizes of the angles in triangle ABC are: $$A = 19.3^\circ$$ $$B = 96.5^\circ$$ $$C = 64.2^\circ$$