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

I need to know if A and B are correct and I need HELP WITH C-example-1
User Felix Alcala
by
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1 Answer

18 votes
18 votes

SOLUTION:

Step 1:

In this question, we are given the following;

Step 2:

For Part A:

We have that:


68^0+53^0+x=180^0(\text{ Sum of angles }ofatriangle=180^0)
\begin{gathered} 121^0+x=180^0 \\ \text{collecting like terms, we have that:} \\ x=180^0-121^0 \\ x=59^0 \end{gathered}

For Part B:

We have that:


\begin{gathered} 46^0+71^0+x=180^0 \\ (\text{Sum of angles of a triangle)} \\ 117^0+x=180^0 \\ \text{collecting like terms, we have that:} \\ \text{ x = 180}^0-117^0 \\ x=63^0 \end{gathered}

For Part C:

We have that:


\begin{gathered} 24^0+x+x=180^0 \\ 24^0+2x=180^0 \\ collect\text{ like terms, we have that:} \\ 2x=180^0-24^0 \\ 2x=156^0 \\ \text{Divide both sides by 2, we have that:} \\ \text{x =}(156^0)/(2) \\ \text{x = 78}^0 \end{gathered}

I need to know if A and B are correct and I need HELP WITH C-example-1
User Lorelle
by
3.0k points