Question

The three angles of a quadrilateral are 60°,80° and 120°. Find the fourth angle?​

Answer 1

Answer:

100°

Step-by-step explanation:

let fourth angle; x

60°+120°+80°+x=360°

260°+x=360°

x=360°-260°

x=100° Ans

Answer 2

☘️ Answer :

The value of fourth angle of the quadrilateral= 100°

☘️ Given :

• The three angles of a quadrilateral are 60°, 80° and 120°.
• Find fourth angle.

☘️ Solution :

Let the fourth angle be x.

So, we know that the sum of all angles of a quadrilateral is 360°

So,

Angle A + Angle B + Angle C + Angle D = 360°

(Angle sum property)

→ 60° + 80° + 120° + x = 360°

→ 260° + x = 360°

→ x = 360° – 260°

→ x = 100°

Verification :

According to our answer, value of x = 100°.

So let's verify it!

LHS :

→ 60° + 80° + 120° + x

→ 60° + 80° + 120° + 100°

→ 360°

RHS = 360°

LHS = RHS = 360°

Hence, verified!

Therefore the value of x = 100° .

☘️ Finale Answer:

Fourth angle = 100°