Algebra Questions

1. 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)
a sum of 180° are called (2)
(1)
complementary
angles. Two angles whose measures have
angles.
vertical
(2)
complementary
supplementary
supplementary
acute
acute
obtuse
obtuse
vertical
2. If x = 30°​, find the measure of the angle in which ​?° appears.
x
°
3. If x = 50°​, find the measure of the angle in which ​?° appears.
x
°
4. 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°​?
°
5. 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. 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 38 degrees greater than its complement.
What is the measure of the​complement?
°
x=
What is the measure of the other​angle?
°
7. Find the measure of angle A for the triangle shown.
22°
°
8. Use the Pythagorean Theorem to find the missing length in
the right triangle.
c
7m
24 m
The missing length is
(1)
(1)
.
m
cm
m
2
11 cm
9. Use the Pythagorean Theorem to find the missing length in
the right triangle.
a
The missing length is
(1)
2
cm .
cm.
m.
(1)
19 cm
​(Round to one decimal place as​needed.)
10. In your own​words, state the Pythagorean Theorem.
Fill in the blanks in the sentence below.
The (1)
(1)
of the legs of a (2)
sum of the lengths
sum of the squares of the lengths
triangle equals the (3)
(2)
right
scalene
obtuse
acute
isosceles
equilateral
of the hypotenuse.
(3)
square of the length
the length