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Kaia's window is in the shape of a trapezoid. Three of the angles are 80°, 100°, and 109°. What is the measure of the fourth angle?

Sagot :

Answer:

71°

Step-by-step explanation:

Kaia's window is in the shape of a trapezoid. Three of the angles are 80°, 100°, and 109°. What is the measure of the fourth angle?

The sum of angles in a trapezoid is equal to = 360°

We are given 3 angles in the trapezoid as: 80°, 100°, and 109°.

The measure of the fourth angle is calculated as:

360° = 80°+ 100° +109° + fourth angle

360° - (80°+ 100° +109°)

360° - 289°

= 71°

The measure of the fourth angle is 71°