Because the exact diagram is not provided, the configuration is mathematically underdetermined. Depending on whether 133^(°) and 115^(°) are exterior angles of a triangle, interior angles of a quadrilateral, or adjacent supplementary angles, different values for x can arise.

Because the exact diagram is not provided, the configuration is mathematically underdetermined. Depending on whether 133^(°) and 115^(°) are exterior angles of a triangle, interior angles of a quadrilateral, or adjacent supplementary angles, different values for x can arise.

If 133^(°) and 115^(°) are two exterior angles of a triangle, the sum of all 3 exterior angles of any convex polygon is 360^(°), which gives x = 360^(°) - 248^(°) = 112^(°). If they are interior angles of a quadrilateral alongside another known angle, the total sum is 360^(°).

If 133^(°) and 115^(°) are two exterior angles of a triangle, the sum of all 3 exterior angles of any convex polygon is 360^(°), which gives x = 360^(°) - 248^(°) = 112^(°). If they are interior angles of a quadrilateral alongside another known angle, the total sum is 360^(°).

Understanding Quardertails a triangle 133 and 115 and we have to find the value of x

Answer: The problem is underdetermined without the accompanying figure. If $133^{\circ}$ and $115^{\circ}$ are exterior angles of a triangle, then $x = 360^{\circ} - (133^{\circ} + 115^{\circ}) = 112^{\circ}$ . If they are parts of a quadrilateral, the fourth angle or remaining configuration must be specified.

Step-by-step solution

Step 1: Analyze the given geometric condition

The sum of the interior angles of a triangle is strictly $180^{\circ}$ . Since $133^{\circ} + 115^{\circ} = 248^{\circ}$ , which is greater than $180^{\circ}$ , these two angles cannot be interior angles of a simple triangle. Under the NCERT Class 8 chapter 'Understanding Quadrilaterals', problems with these specific numbers typically represent exterior angles or consecutive angles of a polygon.

Step 2: State the missing information constraint

Because the exact diagram is not provided, the configuration is mathematically underdetermined. Depending on whether $133^{\circ}$ and $115^{\circ}$ are exterior angles of a triangle, interior angles of a quadrilateral, or adjacent supplementary angles, different values for $x$ can arise.

Step 3: Evaluate common textbook interpretations

If $133^{\circ}$ and $115^{\circ}$ are two exterior angles of a triangle, the sum of all $3$ exterior angles of any convex polygon is $360^{\circ}$ , which gives $x = 360^{\circ} - 248^{\circ} = 112^{\circ}$ . If they are interior angles of a quadrilateral alongside another known angle, the total sum is $360^{\circ}$ .

Solve your own maths question free →