Question

answer the following question​

Answer 1

Answer:

2x =  50°

3x = 75°

4x - 10° = 90°

5x + 20° = 145°

Step-by-step explanation:

We know that sum of all the angles in quadrilateral is 360°

So 2x + 3x + (4x -10°) + (5x + 20°) =  360°

⇒ 5x + 4x - 10° + 5x +20° =  360°

⇒ 9x + 5x +10° =  360°

⇒ 14x +10° =  360°

⇒ 14x = 350°

⇒ x = 350°/14

⇒ x = 25°

We have found the value of x  

So now we should substitute with the angles

2x = 2 × 25° = 50°

3x = 3 × 25° =  75°

4x - 10° = 4 × 25° -10° = 100° -10° = 90°

5x + 20° = 5 × 25° +20° = 125° + 20°

                                       ⇒145°

Hope this will help you