Angles A and B are supplementary angles. Angle A measures 72° and angle B measures (3x + 6)°.
Find x.
22
34
72
108
Question 2
In triangle XYZ, m∠Y = 61.75° and m∠Z = 22.9°. Determine the measure of the exterior angle to ∠X.
28.25°
38.85°
84.65°
95.35°
Question 3
Can a triangle be formed with side lengths 8, 11, 15? Explain.
No, because 15 − 11 < 8
Yes, because 15 − 8 < 11
No, because 8 + 11 > 15
Yes, because 8 + 11 > 15
Question 4
One interior angle of a triangle is 48°, and the other two angles are congruent. Choose the equation that could be used to determine the degree measure of one of the congruent angles.
x − 48 = 90
x + 48 = 180
2x − 48 = 90
2x + 48 = 180
Question 5
Determine the perimeter of the right triangle shown.
right triangle with vertices at negative 2 comma 2, negative 2 comma negative 1, and 2 comma negative 1
2 units
12 units
5 units
7 units
Question 6
What is the sum of all interior angles of a 27-sided regular polygon?
180°
167°
4,860°
4,500°
Question 7
Angles W and X are complementary. Determine the degree measure of ∠W if m∠X = 68.7°
111.3°
90°
68.7°
21.3°
Question 8
Determine which set of side measurements could be used to form a right triangle.
16, 5, 25
9, 16, 12
9, 15, 12
8, 2, 10
Question 9
A pentagon has 5 sides. One angle of a regular pentagon measures (4w + 7)°. Determine the value of w. Round to the nearest whole number.
w = 108
w = 43
w = 29
w = 25
Question 10
In triangle XYZ, m∠Z = (5m − 15)° and the exterior angle to ∠Z measures (7m + 3)°. Determine the value of m.
m = 6
m = 8.5
m = 15
m = 16
Question 11
A regular polygon is shown with one of its angle measures labeled a.
9 sided regular polygon with one angle labeled a
If m∠a = (2z + 64)°, find the value of z.
z = 102
z = 58
z = 38
z = 42
Question 12
A right triangle has a leg length of square root of 8 and a hypotenuse length of 5. Determine the length of the other leg of the right triangle.
square root of 39
square root of 33
square root of 17
39
