Question

The angles of a quadrilateral are (5x)º, (3x + 10), (6x -20)° and (x + 25)°. Find (i) the value of x
and (ii) the measure of each angle of the quadrilateral.​

Answer 1

(i) In quadrilateral sum of all angles are 360°

So, (5x)° + (6x-20)° + (3x+10)° + (x+25)° = 360°

(5x + 6x - 20 + 3x + 10 + x + 25)° = 360°

(5x + 6x + 3x - 20 + 10 + 25)° = 360°

(14x + 15)° = 360°

(14x)° + 15° = 360°

14x° = 360° - 15°

x = 345°/14

x = 24.6°

(ii)

• (5x)° = 5 × 24.6 = 123°
• (6x-20)° = 6 × 24.6 - 20 = 127.6°
• (3x + 10)° = 3 × 24.6 + 10 = 83.8°
• (x + 25)° = 24.6 + 25 = 49.6°

I hope it helps you army!

pls follow me and mark me as brainliest

purple u army