Adjacent Angles

Front

What are adjacent angles?

Back

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

Front

If two angles are adjacent and one measures 45°, what is the measure of the other angle if they form a linear pair?

Back

The other angle measures 135° because adjacent angles that form a linear pair add up to 180°.

Front

What is the sum of the measures of two adjacent angles?

Back

The sum can vary; if they form a linear pair, it is 180°. Otherwise, it can be any value depending on the angles.

Front

If angle A is 30° and angle B is adjacent to angle A, what is the measure of angle B if they form a linear pair?

Back

Angle B measures 150°.

Front

What is the measure of angle C if angle A is 110° and angle C is adjacent to angle A?

Back

Angle C measures 70° if they form a linear pair.

Front

If angle D is 60° and is adjacent to angle E, what is the measure of angle E if they are complementary?

Back

Angle E measures 30° because complementary angles add up to 90°.

Front

What is a linear pair of angles?

Back

A linear pair of angles consists of two adjacent angles whose non-common sides form a straight line, summing to 180°.

Front

If angle F is 45° and angle G is adjacent to angle F, what is the measure of angle G if they are supplementary?

Back

Angle G measures 135° because supplementary angles add up to 180°.

Front

What is the relationship between adjacent angles and their measures?

Back

Adjacent angles can have any relationship; they can be complementary, supplementary, or neither.

Front

If angle H is 90° and angle I is adjacent to angle H, what can we say about angle I if they are complementary?

Back

Angle I must be 0° because complementary angles add up to 90°.