Four angles of a quadrilateral are in the ratio 2:4:5:7 , find all the angles.
Answers
❄️ Given :
- Four angles of quadrilateral are in the ratio 2:4:5:7.
- Find all the angles.
❄️ Solution :
Let the given ratio of angles of the quadrilateral be 2x, 4x, 5x, and 7x.
We know that,
The sum of all angles of a quadrilateral = 360°
∠A + ∠B + ∠C + ∠D = 360°
(Angle sum property of a quadrilateral)
So,
→ 2x + 4x + 5x + 7x = 360°
→ 18x = 360°
→ x = 360/18
→ x = 20°
Now, let's find the value of the angles given in ratio!
❄️ Angle 1 :
2x = 2(20)
= 40°
.°. Angle 1 = 2x = 40°
❄️ Angle 2 :
4x = 4(20)
= 80°
.°. Angle 2 = 4x = 80°
❄️ Angle 3 :
5x = 5(20)
= 100°
.°. Angle 3 = 5x = 100°
❄️ Angle 4 :
7x = 7(20)
= 140°
.°. Angle 4 = 7x = 140°
❄️ Verification :
→ ∠A + ∠B + ∠C + ∠D = 360°
→ 2x + 4x + 5x + 7x = 360°
→ 2(20) + 4(20) + 5(20) + 7(20) = 360°
→ 40° + 80° + 100° + 140° = 360°
→ 360° = 360°
.°. LHS = RHS
Hence, verified.
❄️ Final answer:
- Angle 1 → 2x = 40°
- Angle 2 → 4x = 80°
- Angle 3 → 5x = 100°
- Angle 4 → 7x = 140°
Answer:
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In Physics, force is defined as:
The push or pull on an object with mass that causes it to change its velocity.
Force is an external agent capable of changing the state of rest or motion of a particular body. It has a magnitude and a direction. The direction towards which the force is applied is known as the direction of the force and the application of force is the point where force is applied.
The Force can be measured using a spring balance. The SI unit of force is Newton(N).