Question

if three agles x, y and z in a triangle such as angle x = 45, angle y = 60 find the angle z.

Answer 1

$since \: the \: sum \: of \: all \: angles \: in \: a \: triangle \: is \: 180 \\ \\ therefore \: \\ \\ x + y + z = 180..............(1) \\ \\ but \: given \: that \: x = 45 \: and \: y = 60 \\ \\ putting \: these \: values \: of \: x \: and \: y \: in \: equation \: (1) \\ \\ 45 + 60 + z = 180 \\ \\ 105 + z = 180 \\ \\ z = 180 - 105 \\ \\ or \: \: z = 75 \\ \\ hope \: it \: helps...$