Question

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

Answer 1

Answer: Question 1 is x=34

Explanation:

we know that they are supplementary which means they add up to 180, and 3x34 is 102 then you add the six, which is 108 then you add the 72 and it's 180. so the answer is 34.

Answer 2

For question 1. x=35. Supplementary means one angle plus the other equals 180 so you just take 72 out of 180 (equals 108) which is what 3x+6 needs to equal. You take 6 out of 108, 102/3=34.
Question 2: okay for this we know that all the interior angles of a triangle added equals 180 so we add the ones they give 61.75+22.9=84.65 so the measure of the interior angle of X equals 180-84.65=95.35. And since the sum of the interior angle and the exterior angle equal 180 the exterior angle equals 84.65.
Question 3: I’m sorry I don’t know what the symbols mean all they’re giving me is &It; and > but if you take any of the two sides and add them and the sum is greater then the third side then yes you can form a triangle so I think it’s Yes, because 8 + 11 > 15
Question 4: okay the answer for this is 2x + 48 = 180 since all the angles of a triangle added together equals 180 you minus -48 from both sides and divide by 2 to get the amount of the equal angles.
Question 5: the perimeter is 12 units. Found by graphing it on a graph and using the Pythagorean Theorem to find the length of the hypotenuse.
Question 6: the sum is 4,500
Question 7: is 21.3. Complementary means one angle plus the other equals 90.
Question 8: 9, 15, 12.
Question 9: w=25.
Question 10: m=16.
Question 11: z=38.
Question 12: square root of 17.
Hope this helps :)