Answer:
x = 24.4°
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1 and3can form the triangle
As the sum of 2sides is greater then the 3rdside
Like for first one
12+14>18
26>18
Yes
14+18>12
32>12
Yes
12+18>14
30>14
Yes
so the first set of sides can become a triangle
sinA+sinB+sinC
=2sin(A+B)/2cos(A-B)/2+sin C
=2sin(pi-C)/2cos(A-B)/2+2sin C/2cosC/2
=2cosC/2(cos(A-B)/2+cos(A+B)/2)
=4 cos A/2 cos B/2 cos C/2
= RHS
Distribute: 4x - 2 - 100 = 0
add 102 to both sides: 4x = 102
Divide both sides by 4: x = 25.5
If triangle ABC is equilateral,solve for X56x-308