The Angle Addition Postulate

Front

What is the Angle Addition Postulate?

Back

The Angle Addition Postulate states that if point D is in the interior of angle ABC, then m∠ABD + m∠DBC = m∠ABC.

Front

If m∠ABC = 103°, what is the measure of angle ABD if m∠ABD = 46°?

Back

m∠ABC = m∠ABD + m∠DBC, so m∠DBC = 103° - 46° = 57°.

Front

Solve for x: If m∠RST = (12x - 1)° and m∠RSU = (9x - 15)°, and m∠UST = 53°, what is x?

Back

x = 13.

Front

What is the relationship between angles in a linear pair?

Back

In a linear pair, the sum of the measures of the two angles is 180°.

Front

If m∠JKU = 3x - 9 and m∠UKL = 138°, what is the value of x?

Back

x = 49.

Front

What does it mean for angles to be complementary?

Back

Two angles are complementary if the sum of their measures is 90°.

Front

If m∠RST = (12x - 1)° and m∠RSU = (9x - 15)°, what are the measures of m∠RST and m∠RSU when x = 13?

Back

m∠RST = 155°, m∠RSU = 102°.

Front

What is the measure of angle EFG if m∠EFG = 56°?

Back

m∠EFG = 56°.

Front

If m∠ABC = 103° and m∠ABD = 46°, what is m∠DBC?

Back

m∠DBC = 103° - 46° = 57°.

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.