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Need work to be shown

Need work to be shown-example-1
User L Petre
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Answer:

x = 18 , CDF = 299°

Explanation:

the arc DE is congruent to the central angle subtending it , that is

DE = 120°

the sum of the arcs on a circle = 360° , then

CD + DE + EF + FC = 360

4x + 2 + 120 + 6x - 3 + 3x + 7 = 360

13x 126 = 360 ( subtract 126 from both sides )

13x = 234 ( divide both sides by 13 )

x = 18

Then

CD = 4x + 2 = 4(18) + 2 = 72 + 2 = 74°

EF = 6x - 3 = 6(18) - 3 = 108 - 3 = 105°

Then

CDF = CD + DE + EF = 74° + 120° + 105° = 299°

User Nihal Sangeeth
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