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Two angles of a quadrilateral measure 125° and 35°. The other two angles are in a ratio of 3:5. What are the measures of those two angles?

Respuesta :

ashish4112119

Answer:

120° and 80°

Step-by-step explanation:

quadrilateral = 360°

125° + 35° = 160°

360° - 160° = 200°

3/5 of 200° = 120°

200° - 120° = 80°

devishri1977

Answer:

Step-by-step explanation:

Finding the missing angles of quadrilateral:

Ratio of other two angles = 3 : 5

Other two angles are 3x , 5x

Sum of all angles of quadrilateral = 360

125 + 35 + 3x + 5x = 360

Combine like terms

          160 +  8x  = 360

Subtract 160 from both sides

                     8x  = 360 - 160

                     8x = 200

Divide both sides by 8 to isolate x

                       x = 200/8

                        x = 25

5x = 5*25 = 125

3x = 3*25 = 75

The other two angles are 125° , 75°

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