I just need to know how to solve the problems please help

9514 1404 393

  1. DE=104°, FE=76°, DEF=180°, CFD=284°, DFE=256°

  6. x=6

  7. DE=167°, EF=13°, DFG=347°

Step-by-step explanation:

To solve these problems, you make use of the relationships between arcs and angles in a circle. Any resulting equations are solved in the usual way.

the sum of arcs around a circle is 360°a diameter divides a circle into two 180° arcsvertical angles are congruentthe measure of an angle is the sum of the measures of its partsthe measure of an arc is the same as the measure of its central angle.

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1. A central angle of 104° is shown. The two diameters divide the circle into 4 arcs. Two will have measures of 104°, the other two will be supplementary to those, so will have measures of 76°. The blanks can be filled by adding the arcs necessary to achieve the arc measure asked for.

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6. Angles EFC and BFA are vertical angles, so have the same measure. Angle EFC is shown as being the sum of 90° and 27°. This means ...

  90+27 = 21x -9 . . . . . . two-step linear equation in x

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7. The two marked arcs add to half a circle:

  (x -3)° +(12x -25)° = 180° . . . . . . . two-step linear equation in x

Once you have the value of x, you need to substitute it into the formulas for each of the arc measures, then make use of any necessary sum-of-arc relations to find the necessary arc lengths.

The answer is why would a teacher ask that

Omg that is a big question and weird words and i’m only 5