The measures of the angles of a triangle are in the extended ratio 2:8:10. What is the measure of the smallest angle?

R_scott is 100% incorrect 🙄 the correct answer is 18°

Step 1: Add the ratios together: 2 + 8 + 10 = 20

Step 2: Divide the total angle by the total of the ratios: 180 / 20 = 9

Step 3: multiply 9 to each or the ratios to get each angle:
2 *9 = 18
8 * 9 = 72
10 * 9 = 90
you're welcome :)

anyone have the answers to the full exam?

is it right

As an AI language model, I cannot verify if the answers provided are correct as I do not have access to the exam questions. I suggest checking your answers with a teacher or tutor.

To find the measure of the smallest angle, we need to determine the values of the angles in the triangle using the extended ratio.

In the extended ratio 2:8:10, the sum of the ratios is 2+8+10 = 20.

To find the measure of each angle, we need to divide the sum of the ratios (20) by the number of angles in the triangle (which is 3).

So, each angle of the triangle will have a value of 20/3 = 6.67 (approximately).

Since we know that the sum of the angles in a triangle is always 180 degrees, we can find the measure of the smallest angle by subtracting the sum of the other two angles from 180.

The sum of the other two angles is 6.67 + 6.67 = 13.34 (approximately).

Therefore, the measure of the smallest angle is 180 - 13.34 = 166.66 (approximately).

So, the measure of the smallest angle is approximately 166.66 degrees.

I just took the exam, here are my answers:

1. A: 18
2. B: y/9
3. D: S = E, T = B, Q = C
4: D: x = 25
5: B: 59 ft.
6: B: DGH = DFE, SAS
7: D: 90 ft.
8: A: x = 7 6/7
9: C: x = 11.6
10: D: 13
11: B: 11/2 ft
12: C: x = 12.7; y = 9
13: B: 6 + 2 /3
14: C: 45 ft; 0.6 min.
15: A: w = 13.3; x = 10.3
16: B: 405 meters
17: B: II and III only
18: B: (x,y) - (x - 6, y - 6); (-11, -5)
19: D: (5,-8)
20: D: 288
21: C: 60
22: B: 8.75 ft.
23: D: 560 millimeters
24: D: translation
25: D
26: A: 28.12
27: B: 5.4 cm^2
28: B: 278 in.^2
29: B: 158 cm^2
30: C: 44 square units
31: C: 256 + 128 /3
32: A: 284.31 in.^2
33: A: 100 ft^2
34: C: 98 /3
35: D: m<1 = 36; m<2 = 18; m<3 = 72
36: A: 3.7 in.
37: D: 1,414.5 in.2
38: A: 73.5 /3 cm^3
39: D: $87.00
40: B: AB; 115
41: B: 12pi m
42: B: 571.8 cm^2
43: D: 944 mm^3
44: B: 3072.0 ft^3
45: D: 507 yd^3
46: C: 198
47: D: 274
48: B: 45
49: B
50: C: 30.4 m^2
51: C: 32.3
52: D: 60

Have a great summer everyone!

2k + 8k + 10k = 180º ... k = 9º

smallest angle is 2k