Question

the three angles of a quadrilaterl are76, 54and 108. find the measure of the fourth angle​

Answer 1

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Given :

• Angles of quadrilateral = 76, 54 and 108

To Find

• Fourth Angle = ?

Solution :

Let the fourth angle be x.

All angles of quadrilateral = 360°

➨ 76° + 54° + 108° + x = 360°

➨ 238° + x = 360°

➨ x = 360° - 238°

➨ x = 122°

Therefore, fourth angle = 122°.

Answer 2

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°  $\purple{\bigstar}$

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°