Question

the measure of three angles of a quadrilateral are 110°,70° and 100°. find its fourth angle

Answer 1

given :
three angles of quadrilateral Is=110°+70°+100° =280°
The sum of all angles of a quadrilateral is = 360°
so the fourth angle is =360°-280°= 80°

Answer 2

Concept-

Use the concept of angle sum property of a quadrilateral. First, assume the fourth angle be x° , use the angle sum property of a quadrilateral and find the value of x.

Given-

Measure of three angles of a quadrilateral are 110°,70° and 100°.

Find-

Find the fourth angle of a quadrilateral.

Solution-

We know, by angle sum property, the sum of angles of a quadrilateral is 360°

The given angles are, 110° , 70° , 100°.

Let the fourth angle be x°.

Then, 110° + 70° + 100° + x° = 360°

⇒ 360° - ( 110° + 70° + 100°) = x°

⇒ x° = 360° - 280°

⇒ x° = 80°

Therefore, the fourth angle is 80°

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