Question

Three angles of a quadrilateral are 60 , 110 and 86. What is the measure of the fourth angle of the quadrilateral?

Answer 1

Answer:

Step-by-step explanation:

Sum of angles in a quadrilateral is 360 degrees

Given 3 angles are 60,110 and 86 degrees

Let the unknown angle be x

60+110+86+x=360

256+x=360

x=104

Unknown /fourth angle is 104 degrees

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Answer 2

The measure of the fourth angle = 104°

Solution:

Given three angles of the quadrilateral.

The measure of three angles are 60°, 110° and 86°.

Let the unknown angle be x.

To find the measure of the fourth angle:

Sum of the angles of the quadrilateral = 360°

⇒ 60° + 110° + 86° + x° = 360°

⇒ 256° + x° = 360°

⇒ x° = 360° – 256°

⇒ x° = 104°

Hence the measure of the fourth angle of the quadrilateral is 104°.

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