Question

In a quadrilateral the measures of its angles x + 6, 2x + 3, 4x, 5x - 9. Find x and find the measures of each angles

Answer 1

Answer:

x= 30

angles are 36°,63°,120° and141°

Step-by-step explanation:

the sum of total angles of a quadrilateral = 360

(x+6)+(2x+3)+4x+(5x-9) =360

12x + 0 = 360

12x = 360

x = 360/12

x = 30

the four angles are

x+6 = 30+6 = 36°

2x+3 = 2×30+3 =60 + 3 = 63°

4x = 4 × 30 = 120°

5x-9 = 5×30-9 = 150 - 9 = 141°