Question

find the value of x.
54°
95°
x°
x =

Explanation:

Step1: Find the third angle of the triangle

The sum of the interior angles of a triangle is \(180^\circ\). Let the third angle be \(y\). So, \(y = 180^\circ - 54^\circ - 95^\circ\)
\(y = 180 - 54 - 95 = 31^\circ\)

Step2: Find \(x\) using linear pair

\(x\) and \(y\) form a linear pair, so their sum is \(180^\circ\). Thus, \(x = 180^\circ - y\)
Substitute \(y = 31^\circ\), we get \(x = 180 - 31 = 149^\circ\)

Answer:

\(149\)