Question

4.)Two angles of a quadrilateral are of measure 65° and the other two angles are equal. What is the measure of each of these two angles?​

Answer 1

Answer:

We know that Sum of angles of a quadrilateral is = 360° Let each angle be x° So, 65° + 65° + x° + x° = 360° 2x° = 360° – 130° x° = 230°/2 = 115° ∴ Value of two angles is 115°

Answer 2

Given :

• Two angles of Quadrilateral = 65°

To find :

• the measure of each of these two angles

Solution :

⇒ Let's find the angles. Let the measure of these two angles be x and angles of quadrilateral be x.

• Sum of angles in a Quadrilateral = 360°

→  65° + 65° + x + x = 360°

→ 130 + x + x = 360°

→ 130 + 2x = 360°

→ 2x = 360 - 130

→ 2x = 230

→ x = 230/2

→ x = 115

∴ x = 115°

• Therefore, the measure of each of these two angles are 115°.