Question

The measures of the exterior angles of a quadrilateral are 3x°,8x°, 9x°, and 10x°. Find the measure of the largest exterior angle.

Answer 1

The measure of the largest exterior angle of the quadrilateral is 120 degrees

Quadrilaterals

Quadrilateral are polygons that have four sides. They are regarded as a four sided polygon.

Therefore, the measures of the exterior angles are as follows;

• 3x°
• 8x°
• 9x°
• 10x°

The sum of all the exterior angles of a quadrilateral is 360°. Therefore,

3x + 8x + 9x + 10x = 360°

30x = 360

x = 360 / 30

x = 12

Therefore, the greatest/largest exterior angle is as follows;

• 10(12) = 120°

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