Question

Three angle of a quadrilateral are 100°,90°,and 110° what is the fourth angle?

Answer 1

Answer:

60 degree is your ans

Step-by-step explanation:

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Answer 2

Answer:

Fourth angle = 60°

Step-by-step explanation:

Given :

First angle = 100°

Second angle = 90°

Third angle = 110°

To find :

Th fourth angle

Taken :

Let the fourth angle be x .

So , to find the fourth angle use this equation -:

$\boxed{\sf{x+F+S+T=Sq}}$

Where,

F = First angle

S = Second angle

T = Third angle

Sq = Sum of all the angle of quadrilateral

Sum of all angles of quadrilateral is 360° .

Solution :

$:\implies\sf{x+{100}^{\circ}+{90}^{\circ}+{110}^{\circ}={360}^{\circ}}$

$:\implies\sf{x+{190}^{\circ}+{110}^{\circ}={360}^{\circ}}$

$:\implies\sf{x+{300}^{\circ}={360}^{\circ}}$

$:\implies\sf{x={360}^{\circ}-{300}^{\circ}}$

$:\implies\sf{x={60}^{\circ}}$

So , the fourth angle of the quadrilateral is 60° .