Lessons 4.1, 4.2, 4.6 Recap

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180°.

Front

What is the definition of complementary angles?

Back

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

Front

What is the definition of supplementary angles?

Back

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

Front

If angle A is 36°, what is the measure of its complement?

Back

The complement of angle A is 54° (90° - 36°).

Front

If angle B is 63°, what is the measure of its supplement?

Back

The supplement of angle B is 117° (180° - 63°).

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.

Front

What is the definition of adjacent angles?

Back

Adjacent angles are two angles that share a common side and a common vertex.

Front

What is the formula for finding the length of a side in a right triangle using the Pythagorean theorem?

Back

The Pythagorean theorem states that a² + b² = c², where c is the hypotenuse.

Front

What is the value of x if 2x + 3 = 51?

Back

x = 24 (2x = 48, so x = 24).

Front

What is the measure of angle 2 if angle 1 is 50° and they are complementary?

Back

Angle 2 measures 40° (90° - 50°).