Question

Two angles of quaderataral measure 36 and 84.the other two angles are in the ratio of 2:3 find the third and fourth angle​

Answer 1

Answer:

3rd Angle = 96°

4th Angle = 144°

Step-by-step Explanation:

Given,

In Quadrilateral,

• 1st Angle = 36°
• 2nd Angle = 84°
• The measure 3rd and 4th Angle are in Ratio of 2 : 3.

To Find,

• The Measure of 3rd and 4th Angle.

Solution,

1st Angle = 36°

2nd Angle = 84°

Let's,

3rd Angle = 2y

So,

4th Angle = 3y

The Sum of All Angles of Quadrilateral = 360°

→ 36° + 84° + 2y + 3y = 360°

→ 120° + 5y = 360°

→ 5y = 360° - 120°

→ 5y = 240°

→ y = 240°/5

→ y = 48°

3rd Angle = 2y

→ 3rd Angle = 2(48°)

→ 3rd Angle = 96°

4th Angle = 3y

→ 4th Angle = 3(48°)

→ 4th Angle = 144°

Required Answer,

• 3rd Angle = 96°
• 4th Angle = 144°