Question

The three angles of Quadrilateral are 76, 54, 108 . find the measure of fourth angle ?
360
230
122
105​

Answer 1

Step-by-step explanation:

we know that sum of angles of a quadrilateral is 360 degree

fourth angle = 360-(76 + 54 + 108)

= 360 - 238

= 122

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Answer 2

Step-by-step explanation:

Given :

The three angles of a quadrilateral are 76 , 54 and 108

To Find :

Measure of fourth angle?

Solution :

We know that , " Sum of angles in a quadrilateral is 360° "

Let the measure of 4th angle be x

⇒ 76 + 54 + 108 + x = 360

⇒ 238 + x = 360

⇒ x = 360 - 238

⇒ x = 122°

So , Measure of 4th angle is 122°

More Info :

• Sum of angles in a triangle is 180°
• Sum of angles in a quadrilateral is 360°
• Sum of angles in a straight line is 180°