Question

Find the value of x in the figures below. Please show all steps.

Answer 1

1. External angle:

`9x-5=(1)/(2)(158-64)\\\\\\9x-5=(1)/(2)\cdot94\\\\\\9x-5=47\\\\9x=47+5\\\\9x=52\qquad|:9\\\\\\\boxed{x=5(7)/(9)}`

2. Internal angle:

`5x-6=(1)/(2)(101+37)\\\\\\5x-6=(1)/(2)\cdot138\\\\\\5x-6=69\\\\5x=69+6\\\\5x=75\qquad|:5\\\\\boxed{x=15}`