Question

Can you please help me answer this step by step?

Answer 1

`A\text{ = 44}`

Step-by-step explanation:

Here, we want to get the value of x

Mathematically, the sum of angles in a triangle is 180 degrees

Thus:

`\begin{gathered} 70\text{ + x+47 + x+77 = 180} \\ 2x\text{ + 194 = 180} \\ 2x\text{ = 180-194} \\ 2x\text{ = -6} \\ x\text{ = }(-6)/(2) \\ x\text{ = -3} \end{gathered}`

Recall, the angle marked A is (x+47)

Thus, we have it that:

`\begin{gathered} A\text{ = -3 + 47} \\ A\text{ = 44} \end{gathered}`