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Can you please explain to me how this is done

Can you please explain to me how this is done-example-1
User Steve Wright
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1 Answer

17 votes
17 votes

As mentioned in the question, Line a and Line b are parallel to each other and these two lines are cut by the transversal line c.

Since line b is cut by the transversal line c forming the angles measuring 64° and y°, these angles are called linear pairs. The sum of the angles of a linear pair is 180°. Hence, we can say that:


64\degree+y\degree=180\degree

From that equation, we can solve for the value of y.


\begin{gathered} y\degree=180-64 \\ y\degree=116 \end{gathered}

Therefore, the value of y is 116°.

On the other hand, angle x and angle y are what we call alternating exterior angles. By definition, alternating exterior angles are congruent. Hence, the value of x is also 116°.

Why are x and y alternating exterior angles? X and Y are alternating exterior angles because first, they are angles found outside lines a and b, hence, the word exterior. Also, angles x and y do not lie on the same side of the transversal. Hence, the word alternating.

Can you please explain to me how this is done-example-1
User Rcty
by
3.2k points
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