Question
Two straight lines are cut by a transversal so that the co-interior angles are equal. What must be the measure of each interior angle to make the straight lines parallel to each other?
✓
Answer
A transveral intersects two straight lines and co-interior angles are equal to each other,
∵ The two straight lines are parallel Their sum of co-interior angles = 180°
But both angles are equal
$\therefore$ Each angle will be $\frac{180^{\circ}}{2}=90^{\circ}$
∵ The two straight lines are parallel Their sum of co-interior angles = 180°
But both angles are equal
$\therefore$ Each angle will be $\frac{180^{\circ}}{2}=90^{\circ}$
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