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Front

What is the sum of the angles in a triangle?

Back

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

Front

If m∠RST = (12x - 1)° and m∠RSU = (9x - 15)°, how do you find the value of x?

Back

Set up the equation: (12x - 1) + (9x - 15) + 53 = 180. Solve for x.

Front

What is the definition of a supplementary angle?

Back

Supplementary angles are two angles whose sum is 180 degrees.

Front

Calculate m∠DEF if it is a straight angle.

Back

m∠DEF = 180°.

Front

What is the definition of complementary angles?

Back

Complementary angles are two angles whose sum is 90 degrees.

Front

If m∠ABC = 105°, what is the measure of its supplementary angle?

Back

The supplementary angle is 75° (180° - 105°).

Front

How do you calculate the measure of an angle when given two other angles in a triangle?

Back

Use the formula: m∠A + m∠B + m∠C = 180°.

Front

What is the measure of each angle in an equilateral triangle?

Back

Each angle in an equilateral triangle measures 60 degrees.

Front

If m∠A = 25°, what is the measure of its complementary angle?

Back

The complementary angle is 65° (90° - 25°).

Front

What is the relationship between the angles in a linear pair?

Back

Angles in a linear pair are supplementary, meaning they add up to 180 degrees.