QUESTION IMAGE
Question
el valor de x. 49° 93° x°
Step1: Recall angle - sum property of a triangle
The sum of interior angles of a triangle is 180°. Let the third interior angle of the triangle be $y$. So, $y+49^{\circ}+93^{\circ}=180^{\circ}$.
Step2: Calculate the third - interior angle
$y = 180^{\circ}-(49^{\circ}+93^{\circ})=180^{\circ}-142^{\circ}=38^{\circ}$.
Step3: Use the linear - pair property
The angle $x$ and the third - interior angle $y$ form a linear pair. Since the sum of angles in a linear pair is 180°, we have $x + y=180^{\circ}$. Substituting $y = 38^{\circ}$, we get $x=180^{\circ}-38^{\circ}$.
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$142^{\circ}$