Question

37. O triangulo ABC da figura é isosceles, com
AB = BC. Sendo AQ e CP as bissetrizes
de  e ĉ, respectivamente, qual é o valor
de x?

Answer 1

$\angle A = \angle C = \alpha\\ \\ 75\degree + 2\alpha = 180\degree\\2\alpha = 180\degree - 75\degree\\ \alpha=\frac{105}{2}\\ \alpha = 52.5\degree \\ \\ \frac{52,5\degree}{2} \times 2 + x = 180\degree\\ x = 180\degree - 52,5\degree \\ x = 127.5\degree$