Question

. A quadrilateral has three acute angles. If each measures 800, then the measures of the fourth angle is
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Answer 1

I guess your question is :- A quadrilateral has three acute angles. If each measures 80°, then the measures of the fourth angle is

let the fourth angle of the quadrilateral be x

we've got all other three angles which are 80° each

the sum of all angles in a quadrilateral is = 360°

therefore 80° + 80° + 80° + x = 360°

➡ 240° + x = 360°

➡ x = 360° - 240°

➡ x =120°

hence, the measure of fourth angle of the quadrilateral is 120°

verification :-

= 80 + 80 + 80 + 120

= 160 + 200

= 360°

Answer 2

$\huge\bf\green{Answer:-}$

Correct question:-

[Note]

<That This is not 800 it is 80(degree)>

A quadrilateral has three acute angles. If each measures 80°, then the measures of the fourth angle is

Answer:-

• Let y be the fourth angle of the quadrilateral

• According to the given question here to the all three angles we are getting 80°

• For all three angels is equal 360°

So,

$(80° + 80° + 80° + y = 360°)$

$(240° + y = 360°)$

$(y = 360° - 240°)$

$Therefore \: ( y =120°)$

Therefore, 120° is the measure of the fourth Angle.