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Neto Buenrostro · Answer 1 · 2023-07-23T21:43:12+0000

Since interior angles of a triangle adds up to 180 degrees, we can write:

If we clear parenthesis and combine similar terms, we get

which gives

If we move +12 to the right hand side as -12, we obtain

$\begin{gathered} 28x=180-12 \\ 28x=168 \end{gathered}$

then, x is equal to

$\begin{gathered} x=(168)/(28) \\ x=6 \end{gathered}$

Now, we can substitute this values into each angle

$\begin{gathered} \measuredangle A=7x\Rightarrow\measuredangle A=7(6)=42 \\ \measuredangle B=13x-3\Rightarrow\measuredangle B=13(6)-3=75 \\ \measuredangle C=8x+15\Rightarrow\measuredangle C=8(6)+15=63 \end{gathered}$

Therefore, the answers are

$\begin{gathered} \measuredangle A=42 \\ \measuredangle B=75 \\ \measuredangle C=63 \end{gathered}$

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