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3. (02.07 MC)In the figure shown, what is the measure of angle x? (5 points)100 degrees110 degrees120 degrees140 degrees

3. (02.07 MC)In the figure shown, what is the measure of angle x? (5 points)100 degrees-example-1
User Jon Gear
by
3.1k points

1 Answer

17 votes
17 votes

The Solution:

Given:

We are asked to find the value of x.

By the sum of angles in a triangle, we have:


\begin{gathered} \angle A+\angle B+\angle C=180 \\ In\text{ this case} \\ \angle A=40 \\ \angle B=70 \\ \angle C=? \end{gathered}

So,


\begin{gathered} 40+70+\angle C=180 \\ 110+\angle C=180 \\ \angle C=180-110=70^o \end{gathered}

So, applying the theorem of angles in a straight line, we get


\begin{gathered} x+70=180 \\ x=180-70 \\ x=110^o \end{gathered}

Therefore, the correct answer is [option 2]

3. (02.07 MC)In the figure shown, what is the measure of angle x? (5 points)100 degrees-example-1
User Mathause
by
3.4k points
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