Question

(11] Four angles of a quadrilateral are 3×,4×, 5x and 6×. Find the measure of each
angle of the quadrilateral.
1​

Answer 1

✪ Question ✪

Four angles of a quadrilateral are 3x°,4x°, 5x° and 6x°. Find the measure of each angle of the quadrilateral.

✪ Given ✪

Four angles of a quadrilateral are 3x°,4x°, 5x° and 6x°.

✪ To find ✪

The measure of each angle of the quadrilateral.

✪ Solution ✪

As we know that the sum of all angles of a quadrilateral is 360°, we can say -

3x+4x+5x+6x = 360

→ 18x = 360

→ x = 360/18

→ x = 20

✪ Hence ✪

x = 20

So,

☞ 3x° = (3×20)° = 60°

☞ 4x° = (4×20)° = 80°

☞ 5x° = (5×20)° = 100°

☞ 6x° = (6×20)° = 120°

✪ Therefore ✪

The measure of each angle of the quadrilateral are 60°, 80°, 100° and 120°.

๑ Hope this helps you. ๑