Question

I need to know if A and B are CORRECT and I need HELP WITH C

Answer 1

The sum of all angles of a triangle is always equal to 180°. Therefore, looking at triangle A we have 3 angles, 53°, 68°, and x. The sum of them will be 180:

a)

`x+53+68=180`

Now we solve it for x

`\begin{gathered} x=180-53-68 \\ \\ x=59\degree \end{gathered}`

b)

Same thing here, the angles are 46°, 71°, and x, the sum is equal to 180°:

`\begin{gathered} x+46+71=180 \\ \\ x=180-46-71 \\ \\ x=63\degree \end{gathered}`

c)

Now for C, we have the angles x, x again, and 24°, therefore the sum will be

`\begin{gathered} x+x+24=180 \\ \\ 2x+24=180 \\ \\ 2x=180-24 \\ \\ 2x=156 \\ \\ x=(156)/(2) \\ \\ x=78\degree \end{gathered}`

Final answers:

a) x = 59°

b) x = 63°

c) x = 78°