Question

three angles of a quadrilateral are 62°, 85° and 124° . Find the fourth angle​

Answer 1

Step-by-step explanation:

Three angles of a quadrilateral are 62°, 85° and 124°------( Given )

Let the fourth angle be x.

The sum of interior angles in a quadrilateral is 360°.

62° + 85° + 124° + x = 360°

271° + x = 360°

x = 360° - 271°

x = 89°

The measure of the fourth angle is 89°.

Answer 2

Given :

• Three angles of a quadrilateral are 62°, 85° and 124°.

　

To find :

• What is the measure of fourth angle.

　

We know that :

• A quadrilateral has 4 angles. As per the question we have to find what is the fourth angle of the given quadrilateral.

　

• Sum of all the angles of quadrilateral is "360°" - Let the four angles be (A, B, C and D) respectively, So (A + B + C + D = 180°).

　

• Let us assume "x" as the fourth angle of the quadrilateral.

　

Calculations :

→ 62° + 85° + 124° + x = 360°

→ 271° + x = 360°

→ x = 360° - 271°

→ x = 89°

　

Therefore, 89° is the measure of the fourth angle.