Question

Two angles of quadrilateral are 140° and 100° if remaining two angles are eqal then the measure each angle eqal to ________​

Answer 1

Answer:

60°

Step-by-step explanation:

sum of all angles of a quadrilateral=360°

let the other 2 angles be x

therefore,

140+100+x+x=360

240+2x=360

2x=360-240

2x=120

x=120/2

x=60°

Answer 2

Answer:-

Given:

Two angles of a quadrilateral are 140° and 100°. And other two angles are equal.

Let , third angle = forth angle = x.

We know that,

Sum of four angles of a quadrilateral = 360°

Hence,

140° + 100° + x + x = 360°

→ 2x + 240° = 360°

→ 2(x + 120) = 360°

→ x + 120 = 360°/2

→ x + 120° = 180°

→ x = 180° - 120°

→ x = 60°

Therefore, other two angles of the quadrilateral are equal to 60°.

Additional Information:-

• A closed figure bounded by four line segments is called a Quadrilateral.

• Sum of four angles of a Quadrilateral = 360°.

• There are different types of quadrilaterals based on sides and angles.

• The line segments joining the opposite vertices of a Quadrilateral are called Diagonals.