The second angle of a triangle is 3 times as large as the first angle. The third angle is The second angle of a triangle is 3 times as large as the first angle. The third angle is 30 degrees more than the first angle. Find the measure of the third angle.
a-52°
b-70°
c-60°
d-50°
just give the ans
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the answer is 60 degrees third option...
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Hey Buddy ❣❤
Answer
Suppose that A,B,C are the three angles of ΔABC.
By the 1st condition, B=3A, and by the 2nd,C=A+30∘.
Knowing that A+B+C=180, we utilise the above to get,
A+(3A)+(A+30)=180.
∴5A=180−30=150.
∴A=30∘,B=3A=90∘andC=A+30∘=60°
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