the question in English is
<span>In a triangle ABC, the measure of the BAC angle exceeds the ABC measure by 10 °, and the measure of the ACB angle, added by 30 °, is equal to twice the BAC measure. What are the measures of the angles of this triangle?
</span>
Let
A=m ∠BAC
B=m∠ABC
C=m∠ACB
we know that
A+B+C=180-----> equation 1
A=B+10-----> B=A-10------> equation 2
C+30=2A----> C=2A-30----> equation 3
substitute equation 2 and equation 3 in equation 1
A+[A-10]+2A-30]=180------> 4A=180+40-----> A=220/4-----> A=55°
B=A-10----> B=55-10-----> B=45°
C=2A-30-----> C=2*55-30----> C=80°
the answer is
m ∠BAC is 55°
m∠ABC is 45°
m∠ACB is 80°
<span>the answer in Portuguese
</span><span>Deixei
</span>A=m ∠BAC
B=m∠ABC
C=m∠ACB
<span>nós sabemos isso
</span>A+B+C=180-----> <span>equação 1
</span>A=B+10-----> B=A-10------> equação 2
C+30=2A----> C=2A-30----> equação 3
substitute equação 2 e equação 3 dentro equação 1
A+[A-10]+2A-30]=180------> 4A=180+40-----> A=220/4-----> A=55°
B=A-10----> B=55-10-----> B=45°
C=2A-30-----> C=2*55-30----> C=80°
<span>a resposta é
</span>m ∠BAC is 55°
m∠ABC is 45°
m∠ACB is 80°
There are 3 y’all in the equation
Answer:
A.
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