Question

Given: triangleGRA angleGRA=85^circ angleRGA=63^circ angleRAG=?^circ

Solid Geometry
ANSWERED
asked 2021-08-09
Given:
\(\displaystyle\triangle{G}{R}{A}\)
\(\displaystyle\angle{G}{R}{A}={85}^{\circ}\)
\(\displaystyle\angle{R}{G}{A}={63}^{\circ}\)
\(\displaystyle\angle{R}{A}{G}=?^{\circ}\)

Answers (1)

2021-08-10

From the triangle angle sum theorem, we know that the sum of all angles of a triangle must be equal to \(180^{\circ}\). Let \(\displaystyle\angle{R}{A}{G}\) be x.
\(\displaystyle{x}+{85}^{\circ}+{63}^{\circ}={180}^{\circ}\)
\(\displaystyle{x}={180}^{\circ}-{85}^{\circ}-{63}^{\circ}\)
\(\displaystyle{x}={32}^{\circ}\)

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