Collage Algebra

1.

2.

3.

4.

5.

(1) complementary supplementary

acute obtuse

vertical (2) complementary supplementary

acute obtuse

vertical

Fill in each blank so that the resulting statement is true.

Two angles whose measures have a sum of 90 are called __________ angles. Two angles whose measures have a sum of 180 are called __________ angles.

° °

Two angles whose measures have a sum of 90 are called (1) angles. Two angles whose measures have

a sum of 180 are called (2) angles.

°

°

If x , find the measure of the angle in which ? appears.= 30° °

x

°

If x , find the measure of the angle in which ? appears.= 50° °

x

°

Find the measure of the complement and the supplement of .31°

What is the measure of the complement of ?31°

°

What is the measure of the supplement of ?31°

°

Describe each type of angle: acute, right, obtuse, and straight.

Choose the correct answer below.

A. A right angle measures less than 90 and a straight angle measures more than 90 , but less than 180 . An acute angle measures 90 and an obtuse angle measures 180 .

° ° ° ° °

B. A straight angle measures less than 90 and a right angle measures more than 90 , but less than 180 . An obtuse angle measures 90 and an acute angle measures 180 .

° ° ° ° °

C. An obtuse angle measures less than 90 and an acute angle measures more than 90 , but less than 180 . A right angle measures 180 and a straight angle measures 90 .

° ° ° ° °

D. An acute angle measures less than 90 and an obtuse angle measures more than 90 , but less than 180 . A right angle measures 90 and a straight angle measures 180 .

° ° ° ° °

6.

7.

8.

9.

Use an algebraic equation to find the measures of the two angles described below. Begin by letting x represent the degree measure of the angle's complement.

The measure of the angle is degrees greater than its complement.38

What is the measure of the complement?

x = °

What is the measure of the other angle?

°

Find the measure of angle A for the triangle shown.

°

(1)

Use the Pythagorean Theorem to find the missing length in the right triangle.

7 m

24 m

c

The missing length is (1) .

m cm m2

(1)

Use the Pythagorean Theorem to find the missing length in the right triangle.

a

11 cm

19 cm

The missing length is (1) (Round to one decimal place as needed.)

cm .2

cm. m.

22°

10.

(1) sum of the lengths sum of the squares of the lengths

(2) right obtuse

isosceles equilateral

scalene acute

(3) square of the length the length

In your own words, state the Pythagorean Theorem.

Fill in the blanks in the sentence below.

The (1) of the legs of a (2) triangle equals the (3) of the hypotenuse.