Question

. 2 1 3 LAU 5 16 7 DO If angle 1 is x+74 and angle 8 is 2x - 1, what are the measures of angle and 87

Answer 1

Consider that the Alternate Exterior Angles are always equal for a transversal passing through two parallel lines.

The given diagram depicts two incline parallel lines and the vertical line acts as a transversal to them.

Now, angle 1 and angle 8 are alternate exterior angles so they must be equal,

`\begin{gathered} m\angle1=m\angle8 \\ x+74=2x-1 \\ 2x-x=74+1 \\ x=75 \end{gathered}`

So the measure of the angles is given by,

`\begin{gathered} m\angle1=x+74 \\ m\angle1=75+74 \\ m\angle1=149 \end{gathered}`

Thus, both the angles measure 149 degrees.