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find the number of degrees in the third angle of the triangle. the figu…

Question

find the number of degrees in the third angle of the triangle. the figure is not drawn to scale. the measure of the missing angle is (square^{circ}).

Explanation:

Step1: Record la suma de ángulos de un triángulo

La suma de los ángulos interiores de un triángulo es 180°.

Step2: Establece una ecuación

Sea el ángulo desconocido $x$. Entonces $46^{\circ}+92^{\circ}+x = 180^{\circ}$.

Step3: Resuelve la ecuación para $x$

$x=180^{\circ}-(46^{\circ} + 92^{\circ})$.
$x = 180^{\circ}-138^{\circ}$.
$x = 42^{\circ}$.

Answer:

$42$