Answer: x= 12, ∠A= 115°, ∠B= 93°, ∠D = 143°, F= 128°
Step-by-step explanation:
On a straight line, angles add up to 180°.
F = 180-52
F=128°
Angles in a hexagon add up to 720°.
This can be worked out through this formula:
(n-2)×180
n= number of sides
Therefore to find x, you can make all the sides added up equivalent to 720°.
10x-5+108+8x-3+14x-25+133+128=720
32x+336=720
32x=384
x=12
Substituting 12 into all sides that have 'x' in them:
A= 10(12)-5
A= 115°
C= 8(12)-3
C= 93°
D= 14(12)-25
D= 143°
