Answer:
[tex]A\text{ = 44}[/tex]
Explanation:
Here, we want to get the value of x
Mathematically, the sum of angles in a triangle is 180 degrees
Thus:
[tex]\begin{gathered} 70\text{ + x+47 + x+77 = 180} \\ 2x\text{ + 194 = 180} \\ 2x\text{ = 180-194} \\ 2x\text{ = -6} \\ x\text{ = }\frac{-6}{2} \\ x\text{ = -3} \end{gathered}[/tex]
Recall, the angle marked A is (x+47)
Thus, we have it that:
[tex]\begin{gathered} A\text{ = -3 + 47} \\ A\text{ = 44} \end{gathered}[/tex]
