Question

(PLS HELP) What is m∠A?

Answer 1

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

Answer 2

`\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:-}}}\\`

`\longrightarrow`Since the given triangle is isosceles, the angle opposite to equal sides will be equal

`\quad\therefore`So, 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}`