Question

try again one of the digits in your answer is wrong. check your work carefully. find the value of x. 38° 96° x = 132

Explanation:

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 $y$. Then $y+38^{\circ}+96^{\circ}=180^{\circ}$.

Step2: Solve for $y$

$y = 180^{\circ}-(38^{\circ}+96^{\circ})=180^{\circ}-134^{\circ}=46^{\circ}$.

Step3: Use linear - pair property

The angle $x$ and $y$ form a linear pair. Since the sum of angles in a linear pair is 180°, then $x + y=180^{\circ}$.

Step4: Solve for $x$

$x=180^{\circ}-y$. Substituting $y = 46^{\circ}$, we get $x = 134^{\circ}$.

Answer:

$x = 134$