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(PLS HELP) What is m∠A?

(PLS HELP) What is m∠A?-example-1
User Dan Fuller
by
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2 Answers

8 votes
a triangle equals 180 total.
180-76 = 104
since other points (A and C) are congruent, we can divide by 2.
104/2 = 52

52 is the answer
User Robert Kubrick
by
7.9k points
2 votes


\underline{\underline{\large\bf{Given:-}}}


\red{\leadsto}\:
\textsf{The given triangle is isosceles triangle }


\sf with \: AB = AC


\green{\leadsto}\:
\sf m∠B = 76⁰


\underline{\underline{\large\bf{To Find:-}}}


\orange{\leadsto}\:
\textsf{}
\sf m∠A


\\


\underline{\underline{\large\bf{Solution:-}}}\\


\longrightarrowSince the given triangle is isosceles, the angle opposite to equal sides will be equal


\quad\thereforeSo, m∠A = m∠C

Now,

By angle sum property of triangle,sum of all angles inside triangle = 180⁰


\begin{gathered}\\\implies\quad \sf m∠A+m∠C+ m∠B = 180⁰ \\\end{gathered}


\begin{gathered}\\\implies\quad \sf m∠A+m∠A+ 76 = 180⁰\quad(m∠C=m∠A) \\\end{gathered}


\begin{gathered}\\\implies\quad \sf 2m∠A = 180 -76 \\\end{gathered}


\begin{gathered}\\\implies\quad \sf 2m∠A = 104 \\\end{gathered}


\begin{gathered}\\\implies\quad \sf m∠A = (104)/(2) \\\end{gathered}


\begin{gathered}\\\implies\quad \boxed{\sf{ m∠A = 52⁰}} \\\end{gathered}

User Darckcrystale
by
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