Question

find the value of x. 121° 65° x° x =

Explanation:

Step1: Find the adjacent interior angle

The angle of \(121^\circ\) and its adjacent interior angle in the triangle are supplementary (they form a linear pair). So the adjacent interior angle is \(180^\circ - 121^\circ = 59^\circ\).

Step2: Use the triangle angle - sum property

The sum of the interior angles of a triangle is \(180^\circ\). We know one angle is \(65^\circ\), another is \(59^\circ\), and the third is \(x^\circ\). So we set up the equation \(x + 65+ 59=180\).
Simplify the left - hand side: \(x + 124 = 180\).
Subtract 124 from both sides: \(x=180 - 124=56\).

Answer:

\(x = 56\)