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Solution:As all the angles are double digit,so let the first angle be 10+x,where x>=0
Then other angle will be 10+x+24
Third angle=180-(10+x+10+x+24)
=136-2x
also third angle is double digit no. so,it may be equal to 10 or greater than 10
so we can write
136- 2x>=10
-2x>=-126
x<=63
also x>=0
so,
0<=x<=63......i)
this equation shows that the value of x will be between 0 and 63,hence will have 64 values
but there will be more reduction as all the angles are of double digit,
100>136-2x>=10
-36>-2x>=-126
-18>-x>=-63
18<x=<63....ii)
from equation ii) we can say
the total required values will be 45.
Hence there will be 45 types of angles,which will satisfy this condition....
Here is the list of angles which will satisfy the condition
29 53 98
30 54 96
31 55 94
32 56 92
33 57 90
34 58 88
35 59 86
36 60 84
37 61 82
38 62 80
39 63 78
40 64 76
41 65 74
42 66 72
43 67 70
44 68 68
45 69 66
46 70 64
47 71 62
48 72 60
49 73 58
50 74 56
51 75 54
52 76 52
53 77 50
54 78 48
55 79 46
56 80 44
57 81 42
58 82 40
59 83 38
60 84 36
61 85 34
62 86 32
63 87 30
64 88 28
65 89 26
66 90 24
67 91 22
68 92 20
69 93 18
70 94 16
71 95 14
72 96 12
73 97 10
Solution given by:-Amitnrw sir(brainly teacher)