Angles in a Quadrilateral

How do you calculate the measure of an unknown angle in a quadrilateral?

• Add the measures of all angles and divide by 4.

• Subtract the sum of the known angles from 360 degrees.

• Multiply the sum of the known angles by 2.

• Use the formula for the area of the quadrilateral.

If a quadrilateral has angles measuring 100 degrees, 85 degrees, and 75 degrees, what is the measure of the fourth angle?

• 90 degrees

• 95 degrees

• 100 degrees

• 110 degrees

What is the formula for finding the measure of an exterior angle of a polygon?

• The measure of an exterior angle is equal to 180 degrees divided by the number of sides.

• The measure of an exterior angle is equal to 360 degrees divided by the number of sides.

• The measure of an exterior angle is equal to the sum of the interior angles divided by the number of sides.

• The measure of an exterior angle is equal to 90 degrees multiplied by the number of sides.

What is a convex quadrilateral?

• A four-sided figure where all interior angles are less than 180 degrees.

• A four-sided figure with at least one angle greater than 180 degrees.

• A polygon with four sides and equal lengths.

• A shape that can be divided into two triangles by a diagonal.

What is the definition of an obtuse angle?

• An obtuse angle is an angle that measures more than 90 degrees but less than 180 degrees.

• An obtuse angle is an angle that measures exactly 90 degrees.

• An obtuse angle is an angle that measures less than 90 degrees.

• An obtuse angle is an angle that measures more than 180 degrees.

What is the definition of supplementary angles?

• Two angles whose measures add up to 90 degrees.

• Two angles whose measures add up to 180 degrees.

• Two angles that are adjacent to each other.

• Two angles that are equal in measure.

What is the definition of complementary angles?

• Two angles whose measures add up to 90 degrees.

• Two angles that are equal in measure.

• Two angles that add up to 180 degrees.

• Two angles that are adjacent to each other.

What is the definition of an acute angle?

• An angle that measures exactly 90 degrees.

• An angle that measures more than 90 degrees but less than 180 degrees.

• An angle that measures less than 90 degrees.

• An angle that measures exactly 180 degrees.

If a quadrilateral has one angle measuring 105 degrees, what is the maximum possible measure of the other three angles?

• 240 degrees

• 255 degrees

• 300 degrees

• 270 degrees

What is the sum of the interior angles of a quadrilateral?

• 180 degrees

• 360 degrees

• 270 degrees

• 90 degrees