Question

The three angles of a quadrilateral are 72°, 58° and 104°. Find the measure of the fourth angle​

Answer 1

answer:-

angle D=126°

Step-by-step explanation:

angle A- 72°,angle B-58° ,angle C- 104°,angle D- x

let the fourth or angle D be x.

angle A + angle B + angle C + angle x=360°. ( sum of all the angles of a quadrilateral is 360)

72° +58°+104°+x = 360

234°+x =360°

x=360-234

x=126°

therefore angle D= 126°

Answer 2

Given :-

• First Angle of Quadrilateral = 72°
• Second Angle of Quadrilateral = 58°
• Third Angle of Quadrilateral = 104°

To Find :-

• Fourth Angle of Quadrilateral

Solution :-

Sum of all angles of a Quadrilateral is 360°

According to the Question :-

➟ ∠1 + ∠2 + ∠3 + ∠4 = 360°

➟ 72 + 58 + 104 + ∠4 = 360

➟ 130 + 104 + ∠4 = 360

➟ 234 + ∠4 = 360

➟ ∠4 = 360 - 234

➟ ∠4 = 126

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Verification :-

➟ ∠1 + ∠2 + ∠3 + ∠4 = 360°

➟ 72 + 58 + 104 + 126 = 360

➟ 130 + 104 + 126 = 360

➟ 130 + 230 = 360

➟ 360° = 360°

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Therefore, Fourth Angle of the Quadrilateral is of 126°

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