Question

A quadrilatal has three angels measuring 80°,50° and 120° what is the fourth angel

Answer 1

• sum of all angles in quadrilateral is 360⁰

• sum of the given angles = 80⁰+50⁰+120⁰=250⁰.
• 4th angle =360⁰-260⁰=. 110⁰

Answer 2

Answer :-

• The measure of fourth angle i.e. ∠D = 110°

Given :-

• ∠A = 80°
• ∠B = 50°  
• ∠C = 120°

To Find :-

• ∠D = ?

Explanation :-

We know that, the sum of all interior angle of a quadrilateral is 360°.

So according to the theorem,

$\implies{\angle A+\angle B+\angle C+\angle D=360^{\circ}$

$\implies{80^{\circ}+50^{\circ}+120^{\circ}+\angleD=360^{\circ}$

$\implies{250^{\circ}+\angle D=360^{\circ}$

$\implies{\angle D=360^{\circ}-250^{\circ}$

$\underline{{\boxed{\bold{\implies{\angle D=110^{\circ}}}}}}$

Hence, the measure of fourth angle of quadrilateral is '∠D = 110° '

@Agamsain