Question

Find angle x. One side is 90 degrees and another is 152 degrees.

28
118
62
90

Answer 1

In a triangle, the sum of the interior angles is always 180 degrees. If one angle is 90 degrees and another angle is 152 degrees, we can find the third angle, x, as follows:

1. Add the known angles:
\[
90 + 152 = 242
\]

2. Subtract the sum of the known angles from 180 degrees to find x:
\[
x = 180 - 242 = -62
\]

Since the angles of a triangle cannot have negative values, this situation indicates that it is not a valid triangle configuration. Therefore, there can be no angle \( x \) that satisfies this condition, and the configuration is impossible.

To clarify, if you have a triangle with one angle of 90 degrees, the maximum any other angle can be is 90 degrees (since the sum must be 180 degrees). Consequently, one angle can't be 152 degrees in a triangle with a 90-degree angle. Please double-check the angles or context.