Math, asked by ishita42045, 8 months ago

2 adjacent angles of a quadrilateral are 130° and 40°, then the sum of remaining two angles is

Answers

Answered by adhithyama
1

Answer:

190 degrees

Step-by-step explanation:

Let the angles be x and y.

Sum of angles of a quadrilateral is 360 degrees.

130 degrees + 40 degrees +  x + y = 360 degrees (Extra condition for verification of answers)

Sum of opposite angles of a quadrilateral is supplementary.

130 degrees + x = 180 degrees

=>   x = 50 degrees

40 degrees + y = 180 degrees

=>   y = 140 degrees

Therefore,

x + y = 50 degrees + 140 degrees = 190 degrees

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