Angles with algebra

Front

What is the definition of vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always equal.

Front

What is the definition of adjacent angles?

Back

Adjacent angles are two angles that share a common side and a common vertex but do not overlap.

Front

What are complementary angles?

Back

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

Front

What are supplementary angles?

Back

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

Front

If angle A measures 40 degrees, what is the measure of its complement?

Back

50 degrees (90 - 40 = 50).

Front

If angle B measures 110 degrees, what is the measure of its supplement?

Back

70 degrees (180 - 110 = 70).

Front

What equation can be used to find x if two angles are supplementary and one angle is 10 degrees more than twice the other?

Back

Let x be the smaller angle. The equation is x + (2x + 10) = 180.

Front

What is the sum of the measures of angles in a triangle?

Back

The sum of the measures of angles in a triangle is always 180 degrees.

Front

If two angles are vertical angles, and one measures 55 degrees, what is the measure of the other angle?

Back

55 degrees (vertical angles are equal).

Front

What is the relationship between linear pairs of angles?

Back

Linear pairs of angles are adjacent angles that are formed when two lines intersect, and their measures add up to 180 degrees.