Question

in the given triangle with angles 41°, 115° and side related to angle x, and an exterior angle y. we need to find the values of x and y.

Explanation:

Step1: Find angle \( x \)

The sum of the interior angles of a triangle is \( 180^\circ \). So, \( x + 115^\circ + 41^\circ = 180^\circ \).
\[
x = 180^\circ - 115^\circ - 41^\circ = 24^\circ
\]

Step2: Find angle \( y \)

Angles \( x \) and \( y \) are supplementary (they form a linear pair), so \( x + y = 180^\circ \).
\[
y = 180^\circ - x = 180^\circ - 24^\circ = 156^\circ
\]

Answer:

If finding \( x \), the answer is \( 24^\circ \); if finding \( y \), the answer is \( 156^\circ \)