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Two parallel lines are cut by a transversal as shown below.Suppose =m∠859°. Find m∠1 and m∠3.

Two Parallel Lines Are Cut By A Transversal As Shown BelowSuppose M859 Find M1 And M3 class=
Two Parallel Lines Are Cut By A Transversal As Shown BelowSuppose M859 Find M1 And M3 class=

Sagot :

Given

Two parallel lines are given which is cut by a transversal line.

The angle 8 is given 59 degree.

Explanation

To determine the angle 1 and angle 3.

The sum of the corresponding interior angles of the parallel line cut by transversal is 180 degree.

[tex]\angle3+\angle8=180\degree[/tex]

Substitute the values,

[tex]\begin{gathered} \angle3+59\degree=180\degree \\ \angle3=180\degree-59\degree \\ \angle3=121\degree \end{gathered}[/tex]

The angle 3 is 121 degree .

And also angle 3 is vertically opposite to the angle is angle 1.

[tex]\angle1=\angle3=121\degree[/tex]

Answer

Hence the angle 1 is 121 degree and also angle 3 is 121 degree.