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muminat
3 years ago
15

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

Mathematics
1 answer:
timofeeve [1]3 years ago
3 0

<u>Given</u>:

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.

<u>Value of x:</u>

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.

<u>Measure of each angle:</u>

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°

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