Question

Find the value of x in each case. Give reasons to justify your solutions!

Answer 1

Answer: x = $52^{0}$

Step-by-step explanation:

The exterior angle of a triangle = sum of the opposite interior angle.

The interior angles given are : $34^{0}$ and $90^{0}$

Which are opposite to x + 72

Therefore :

x + 72 = $34^{0}$ + $90^{0}$

x + 72 = $124^{0}$

x = $124^{0}$ - $72^{0}$

x = $52^{0}$

Answer 2

All angles in a triangle add up to 180, so you can do 180-90-34 to get angle Q (56). Since there is a straight line, both angle and add up to 180. 56+x+72=180. X is 52