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Who can help me ? Please

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User Steve Wranovsky
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1 Answer

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18 votes

Answer: x= 12, ∠A= 115°, ∠B= 93°, ∠D = 143°, F= 128°

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°

User Ihor Pavlyk
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