Question

.If x and 3x, (x + 15) and (2x + 30) are the angles of a quadrilateral, find them. Please answer my question step by step my exams are coming soon :)

Answer 1

Answer:

x is 45°

Step-by-step explanation:

Sum of all interior angles of qua. = 360°

x° + 3x° + x° + 15° + 2x° + 30° = 360°

7x° + 45° = 360°

7x° = 360° - 45°

7x° = 315°

x° = 315°/7

x° = 45°

Answer 2

Answer:

total sum of angles of quadrilateral is 360°

so,

x + 3x + ( x + 15) + (2x + 30) = 360°

7x + 45 = 360°

7x = 360° - 45°

7x = 315°

x = 315° / 7

x = 45°

so angles are,

x = 45°

3x = 3 × 45 = 135°

x + 15 = 45 + 15 = 60°

2x + 30 = 2 × 45 + 30 = 90 + 30 = 120°