Question

The three angles of a quadrilateral are 90 , 60 and 120 find the fourth angle

Answer 1

Answer:

The measure of the fourth side is 90°.

Step-by-step explanation:

Property Used :-

The sum of measure of all angles of a quadrilateral is 360°. This is known as the angle sum property of a quadrilateral.

Solution :-

Let the fourth side be x

Therefore, using this property, we have :-

$\\ \sf \dashrightarrow \: 60^\circ + 90^\circ + 120^\circ + x = 360^\circ \\ \\ \\ \sf \dashrightarrow 270^\circ + x = 360^\circ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \dashrightarrow x = 360^\circ - 270^\circ = 90^\circ \: \: \: \: \: \: \: \: \: \:$

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