Question

find the measure of the third angle of a triangle given the measure of two angles are ( 86^{circ} ) and ( x^{circ} ).
a. ( (86 - x)^{circ} )
b. ( (90 - x)^{circ} )
c. ( (94 - x)^{circ} )
d. ( (180 - x)^{circ} )

Explanation:

Step1: Record the sum of angles in a triangle

La suma de los ángulos internos de un triángulo es \(180^{\circ}\).

Step2: Establecer la ecuación

Si dos ángulos son \(86^{\circ}\) y \(x^{\circ}\), y el tercer ángulo es \(y^{\circ}\), entonces \(86 + x+y=180\).

Step3: Resolver para \(y\)

Despejando \(y\), se obtiene \(y = 180-(86 + x)=180 - 86-x=94 - x\).

Answer:

C. \((94 - x)^{\circ}\)