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The third angle in an isosceles triangle is 10 more than 3 times as large as each of the two base angles. Find the measure of each angle.

 Mar 14, 2020
 #1
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The angles sum to 180o

 

x  +  x   +  (10 +3x) = 180     solve for x the two smaller angles then the laregest = 10 + 3x

 Mar 14, 2020
 #2
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The third angle in an isosceles triangle is 10 more than 3 times as large as each of the two base angles. Find the measure of each angle.

 

Der dritte Winkel in einem gleichschenkligen Dreieck ist 10 mehr als dreimal so groß wie jeder der beiden Basiswinkel. Finden Sie das Maß für jeden Winkel.

 

Hello Guest!

 

\(2\alpha+\gamma=180^0\\ 2\alpha+3\alpha+10^0=180^0\\ 5\alpha=170^0 \)

\(\alpha=\beta=34^0\)

\(\gamma=180^0-2\alpha\)

\(\gamma=112^0\)

laugh  !

 Mar 14, 2020

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