Missing Angles

Front

What is a missing angle?

Back

A missing angle is an angle in a geometric figure that is not directly given but can be calculated using known angles and properties of shapes.

Front

How do you find the measure of a missing angle in a triangle?

Back

The sum of the angles in a triangle is always 180 degrees. To find a missing angle, subtract the sum of the known angles from 180.

Front

What is the relationship between complementary angles?

Back

Complementary angles are two angles whose measures add up to 90 degrees.

Front

What is the relationship between supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180 degrees.

Front

If one angle measures 45 degrees, what is its complementary angle?

Back

The complementary angle is 45 degrees, since 90 - 45 = 45.

Front

If one angle measures 130 degrees, what is its supplementary angle?

Back

The supplementary angle is 50 degrees, since 180 - 130 = 50.

Front

What is the formula for finding the sum of interior angles of a polygon?

Back

The sum of the interior angles of a polygon can be found using the formula (n-2) × 180, where n is the number of sides.

Front

What is an exterior angle of a polygon?

Back

An exterior angle is formed by one side of a polygon and the extension of an adjacent side. The sum of the exterior angles of any polygon is always 360 degrees.

Front

How do you find a missing angle in a right triangle?

Back

In a right triangle, if one angle is known, the missing angle can be found by subtracting the known angle from 90 degrees.

Front

What is the difference between acute, obtuse, and right angles?

Back

Acute angles measure less than 90 degrees, obtuse angles measure more than 90 degrees but less than 180 degrees, and right angles measure exactly 90 degrees.