Based on these triangles the correct value of x is = 160, because 180 − (130 + 30) = 20 and 180 − 20 = 160 .
What are triangles ?
In Geometry, a triangle is a three-sided polygon that consists of three edges and three vertices. The most important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees. This property is called angle sum property of triangle.
Angle sum property:
Angle sum property of triangle states that the sum of interior angles of a triangle is 180°. parallel to the side BC of the given triangle. Thus, the sum of the interior angles of a triangle is 180°.
Given,
In the figure D, interior angle are 130 and 30 respectively so the
third angle will be 180 - 60 = 40
So, the value of x will be 180 - 40 = 60 (sum of angles on the line = 180)
Hence, the value of x = 160
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