Problema Solution

Two consecutive angles, Angle C and Angle A of parallelogram CARE are (3x+15)degrees and (6x-15)degrees respectively. Find the value of x and all the angles of the parallelogram.

Answer provided by our tutors

Angle A = 3x + 15

Angle C = 6x - 15

Since A and C are angles in parallelogram we have:

Angle A + Angle C = 180

3x + 15 + 6x - 15 = 180

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click here to see the equation solved for x

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x = 20

Angle A = 3*20 + 15

Angle A = 75 degrees

Angle C = 6*20 - 15

Angle C = 105 degrees.