Question

5. Determine os valores de a e b, na figura,
sendo r II s.
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Answer 1

$\Large\boxed{\begin{array}{l}\sf\dfrac{2}{3}x=x-15^\circ\\\\\sf3\cdot(x-15^\circ)=2x\\\sf 3x-45^\circ=2x\\\sf 3x-2x=45^\circ\\\sf x=45^\circ\\\sf b=x-15^\circ=45^\circ-15^\circ=30^\circ\\\sf b+a=180^\circ \\\sf 30^\circ+a=180^\circ\\\sf a=180^\circ-30^\circ\\\sf a=150^\circ\end{array}}$