Question

12. The value of (x) in the following figure is: (a) 120° (b) 80° (c) 100° (d) 60° 50 130 120°​

Answer 1

Answer:

D] 60°

Step-by-step explanation:

Angle sum proprty of quadrilateral=360°

130°+50°+120°+x=360°

300°+x=360°

x=360°-300°

X=60°

Answer 2

Given - Figure of quadrilateral with three interior angles.

Find - Value of x in figure.

Solution - As we know, sum of interior angles of quadrilateral is 360°, thus using this property to find the value of x in given figure.

Therefore, mathematically representing the expression as follows -

50° + 130° + 120° + x = 360°

Summing up all values in left hand side, we get -

300° + x = 360°

Subtracting LHS value from RHS value, we get -

x = 360° - 300°

x = 60°

Thus, the value of x in given figure of quadrilateral with given values is (d) 60°.