Question

four angles are quedlateral are in ratio 2:3:4:1 find the angles​

Answer 1

Required Answer:-

Given:

• Four angles of a quadrilateral are in the ratio 2 : 3 : 4 : 1

To find:

• The angles.

Solution:

➡ We know that sum of all the interior angles of a quadrilateral is 360°.

Let the angles measure 2x°, 4x°, 3x° and x°

Therefore, according to the given condition,

➡ 2x + 4x + 3x + x = 360°

➡ 10x = 360°

➡ x = 36°

Hence,

• x = 36°
• 2x = 72°
• 3x = 108°
• 4x = 144°

★ Hence, the interior angles of the quadrilateral measure 72°, 144°, 108° and 36°

Answer:

• The interior angles of the quadrilateral measure 72°, 144°, 108° and 36°