Unit 7 Flashcard 2 Finding Missing Angle Measurements Using Equations

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

What is the definition of a complementary angle?

Back

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

Front

What is the definition of a supplementary angle?

Back

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

Front

If one angle measures 40 degrees, what is the measure of its complementary angle?

Back

The complementary angle measures 50 degrees (90 - 40 = 50).

Front

If one angle measures 110 degrees, what is the measure of its supplementary angle?

Back

The supplementary angle measures 70 degrees (180 - 110 = 70).

Front

What is the formula to find the measure of an unknown angle in a triangle?

Back

To find an unknown angle in a triangle, use the formula: x = 180 - (angle1 + angle2).

Front

What does it mean if two angles are vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect, and they are always equal.

Front

What is the relationship between angles formed by parallel lines and a transversal?

Back

When a transversal crosses parallel lines, corresponding angles are equal, and alternate interior angles are equal.

Front

If angle x is 39 degrees, what is the measure of its supplementary angle?

Back

The supplementary angle measures 141 degrees (180 - 39 = 141).

Front

What is the measure of angle w if it is complementary to angle x, which measures 55 degrees?

Back

Angle w measures 35 degrees (90 - 55 = 35).