Answer:
x = 80°
Step-by-step explanation:
Find attached the complete question with diagram. Also find attached the diagram used for solving the question.
There area 3 angles in the diagram:
x + 8, 2x + 12, x + 20
Let the interior angles be labelled a, b, and c
a+ 2x+12 = 180° (sum of angles on a straight line)
a= 180-(2x+12) = 168 -2x in degrees
b+ x+20 = 180° (sum of angles on a straight line)
b = 180-(x+20) = 160 -x in degrees
c+ x+8 = 180° (sum of angles on a straight line)
c = 180-(x+8) = 172-x in degrees
a+b+c = 180° (sum of angles in triangle)
(168 -2x)° + (160 -x)° + (172-x)° = 180°
500 -4x = 180
500-180 = 4x
320 = 4x
x = 320/4
x = 80°
