Check the picture below.
notice the sides, now, on the second triangle, side 6 slants a bit more to fit in 13, on the third triangle, side 6 slants even further to fit 13 in, now, if 6 were to slant completely, it'll make a flat-line with side 5, and there will be a triangle no more.
but even if side 6 would stretch to a flat-line, 5+6 is just 11, whilst side 13 is longer than that, so no dice.
Your answer should be the 3rd choice. There is no solution.
Answer:
∠2 = 55°
Step-by-step explanation:
Given that the triangle has 2 congruent sides then the triangle is isosceles.
Thus the 2 base angle are congruent, both equal to ∠2
The sum of the 3 angles in a triangle = 180
7x + 6 + 7x + 6 + 70 = 180, that is
14x + 82 = 180 ( subtract 82 from both sides )
14x = 98 ( divide both sides by 14 )
x = 7
Hence
∠2 = 7x + 6 = (7 × 7) + 6 = 49 + 6 = 55°