Angle Addition/Angle Bisector

Front

What is an Obtuse Angle?

Back

An angle that measures between 90 and 180 degrees.

Front

What is the value of x if m∠ABD = 3x + 5 and m∠ABC = 2x + 30?

Back

x = -6

Front

If \( \overrightarrow{BD} \) bisects \( \angle ABC \), and \( m\angle ABD=3x+5 \) and \( m\angle ABC=2x+30 \), what is \( m\angle DBC \)?

Back

\( m\angle DBC = 20\degree \)

Front

What does the word BISECT mean?

Back

To cut something into two congruent pieces or in half.

Front

What does the Angle Addition Postulate state?

Back

m∠ADB + m∠BDC = m∠ADC.

Front

What is an Acute Angle?

Back

An angle that measures less than 90 degrees.

Front

What is a Right Angle?

Back

An angle that measures exactly 90 degrees.

Front

What is a Linear Pair?

Back

A pair of adjacent angles whose non-common sides form a straight line.

Front

If \( \overrightarrow{BD} \) bisects \( \angle ABC \), what can be said about \( m\angle ABD \) and \( m\angle DBC \)?

Back

They are equal.

Front

What is the formula for finding the measure of an angle bisector?

Back

If \( \overrightarrow{BD} \) bisects \( \angle ABC \), then \( m\angle ABD = m\angle DBC \).