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iren2701 [21]
3 years ago
15

the second angel im a triangle is 2° less the 3 times the first angle the third Angle is 14° more than twice the first angle fin

d the measure of all three angles I'm the triangle (plz show step by step)
Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
8 0
Let's say the angles are "a", "b" and "c"

\bf \begin{cases}
\stackrel{first}{a}\\
\stackrel{second}{b}=\stackrel{\textit{2 less than 3 times \underline{a}}}{3a-2}\\
\stackrel{third}{c}=\stackrel{\textit{14 more than twice \underline{a}}}{2a+14}
\end{cases}
\\\\\\
\textit{now, the sum of all internal angles in a triangle is }180^o
\\\\\\
a+b+c=\implies a+(3a-2)+(2a+14)=180
\\\\\\
6a+12=180\implies 6a=180-12\implies 6a=168\implies a=\cfrac{168}{6}
\\\\\\
a=28


so a = 28°, plug that in "b" and "c", to see how much each is.
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