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Two parallel lines are cut by a transversal as shown below.Suppose =m∠3132°. Find m∠5 and m∠8.

Two parallel lines are cut by a transversal as shown below.Suppose =m∠3132°. Find-example-1
User Lmaooooo
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1 Answer

24 votes
24 votes

Given

The angle 3 is given 132 degree.

Step-by-step explanation

To determine the angle 5 and angle 8.

Use the property that the sum of the corresponding interior angles is 180 degree.


\angle3+\angle8=180\degree

Substitute the values


\begin{gathered} 132\degree+\angle8=180\degree \\ \angle8=180\degree-132\degree \\ \angle8=48\degree \end{gathered}

And also from the figure,

The sum of angle 8 and 5 is 180 degree.


\begin{gathered} \angle8+\angle5=180\degree \\ \angle5=180\degree-48\degree \\ \angle5=132\degree \end{gathered}

Answer

Hence the angle 5 is 132 degree and angle 8 is 48 degree.

User Nikhil PV
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