:( only two questions

1.)the ratio of the angle measures in a quadrilateral is 4: 5 : 8 : 7 . what is the measure of each angle? ** must show all work and steps for credit!

2.)jklm~qrst with a scale factor of 4: 7 mj. = 58m. what is the value of tq ?

  1)  60°, 75°, 120°, 105°

  2)  101.5 m

Step-by-step explanation:

1) The sum of ratio units is 4+5+8+7 = 24, which corresponds to the sum of angles, 360°. Then each ratio unit must stand for 360°/24 = 15°. Multiplying the given ratio units by 15° gives the angle measures:

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2) The similarity statement and the scale factor mean ...

  MJ : TQ = 4 : 7

  7·MJ = 4·TQ . . . . . . . . . "cross multiply"

  TQ = 7/4×MJ = 7/4(58 m) . . . . . divide by 4, substitute the value of MJ

  TQ = 101.5 m

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