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Find the value of x. Then find the measures of B and C

Find the value of x. Then find the measures of B and C-example-1

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recall that the sum of all interior angles in a triangle is 180°, therefore


\bf \stackrel{A}{(48)}~+~\stackrel{B}{(6x-28)}~+~\stackrel{C}{2x}~=~180\implies 8x+20=180 \\\\\\ 8x=160\implies x=\cfrac{160}{8}\implies x=20\\\\ -------------------------------\\\\ \measuredangle B=6(20)-28\qquad \qquad \qquad \measuredangle C=2(20)
User A Haworth
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