Question

Three angles of quadrilateral are respectively equal to 123° , 50° , 40° find its fourth angle .

Answer 1

Answer:

147°

Step-by-step explanation:

In a quadrilateral,

Let the forth angle be 'x:

Sum of all angles = 360°

123 + 50 + 40 + x = 360

213 + x = 360

x = 360 - 213

x = 147°

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Answer 2

Answer:

147 degree

Step-by-step explanation:

As, we know that the sum of all angles of a quadrilateral is 360 degree. [ because when the quadrilateral gets divided into two parts by a transversal then 2 triangles are formed. And we know that the sum of the angles of a triangle is 180 degree. Therefore 2 triangles then 180 + 180 = 360 degree.]

123degree + 50 degree + 40 degree + x degree = 360 degree

( 123+50+40) + x degree = 360 degree

213degree + x degree = 360 degree

x degree = 360 degree - 213 degree

x degree = 147 degree

THEREFORE, 4th ANGLE = 147 degree

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