Question

Please help if your kind enough, this is due today I’ll mark u as brainliest & rate u 5 stars

Answer 1

Given:

Two parallel lines are cut by a transversal and form a pair of alternate interior angles.

One angle measures (6x + 5)° and the other measure (7x - 4)°

We need to determine the measure of each angle.

Value of x:

Since, the two angles are alternate interior angles, then the two angles are congruent.

Thus, we have;

$6x+5=7x-4$

$-x+5=-4$

      $-x=-9$

        $x=9$

Thus, the value of x is 9.

Measure of each angle:

The measure of each angle can be determined by substituting $x=9$ in the measures of each angle.

Thus, we have;

$(6x + 5)^{\circ}=(6(9) + 5)^{\circ}=59^{\circ}$

$(7x - 4)^{\circ}=(7(9) - 4)^{\circ}=59^{\circ}$

Thus, the measure of each angle is 59°