Question

the sum of two angles of a quadrilateral is 150 degree and the other angles are in the ratio 2:3 . find the measure of each angle.


Please say the above answer.​

Answer 1

Answer:

2x + 3x = 150

5x = 150

x = 150 / 5

x = 30

hope it's help you

Answer 2

Answer:

all four angles are 84°,126,75° and 75°

Step-by-step explanation:

the sum of two angles = 150°

let other two angles be = 2x and 3x

so,150° +2x +3x = 360° [quadrilateral sum 360°]

    150° +5x = 360°

             5x = 360° - 150° = 210°

                x = 210°/5 = 42°

so, 2x = 2 × 42° = 84°

     3x = 3 ×  42° = 126°

the sum of two angles  = 150°

each angle = 150°/2 = 75°

so, all four angles are 84°,126,75° and 75°