if anglec=angleb and anglea=4angleb, find the value of each angle.

Non-right triangles and trigonometry
asked 2020-12-06
if \(\displaystyle\angle{c}=\angle{b}{\quad\text{and}\quad}\angle{a}={4}\angle{b}\), find the value of each angle.

Answers (1)

The sum of all angles in any triangles is \(\displaystyle{180}^{\circ}\), so
Substitute \(\displaystyle\angle{c}=\angle{b}{\quad\text{and}\quad}\angle{a}={4}\angle{b}\) to solve for \(\displaystyle\angle{b}\):
Substitute \(\displaystyle\angle{c}=\angle{b}\) to solve for \(\displaystyle\angle{c}\):
Substitute \(\displaystyle\angle{a}={4}\angle{b}\to\) solve for \(\displaystyle\angle{a}\):
The answer:
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