Question

A quadrilateral has angles that measure 100°, 100º, 80°, and f. What is f?

Answer 1

The fourth angle f in a quadrilateral with angles measuring 100°, 100°, and 80° is 80° because the sum of angles in a quadrilateral is always 360°.

Step-by-step explanation:

The student is asking about the measure of an unknown angle f in a quadrilateral given the measures of the other three angles.

To find the measure of the fourth angle in a quadrilateral, you can use the fact that the sum of all angles in any quadrilateral is 360°. Here, we are given three angles measuring 100°, 100°, and 80°, respectively.

First, add up the known angles:

• 100° + 100° + 80° = 280°

Next, subtract the sum of the known angles from the total sum of angles in a quadrilateral to find the measure of the fourth angle f:

• 360° - 280° = 80°

Therefore, the measure of the fourth angle f is 80°.