Three angles of a quadrilateral are congruent. The fourth angle has twice the measure of each of the other angles. Which system of equations can be used to find the measure of the angles?

It is defined as the four-sided polygon in geometry having four edges and four corners. Two pairs of congruent sides, and it has one pair of opposite congruent angles.

As we know, the sum of the angles in a quadrilateral is 360 degree

Let's suppose the one angle is x degrees, so the angles will be also x and x degrees and the fourth angle is y

x + x + x + y = 360

3x + y = 360 ..(1)

The fourth angle has twice the measure of each of the other angles.

y = 2x ...(2)

Equations (1) and equation (2) are the systems of the equation that can be used to find the measure of the angles.

After solving, the measures of the angles will be:

x = 72 degree

y = 144 degree

Thus, the system of equations is 3x + y = 360 and y = 2x and the angles are 72, 72, 72, and 144 degrees.

Learn more about the quadrilateral here:

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