Question

question 6 of 10
what is the value of y?
(there is a triangle with angles y°, 56°, and (y - 12)°)
a. 68°
b. 44°
c. 112°
d. 56°

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(y + (y - 12^\circ)+ 56^\circ= 180^\circ\).

Step2: Simplify the equation

Combine like terms: \(2y + 44^\circ= 180^\circ\). Subtract \(44^\circ\) from both sides: \(2y = 180^\circ - 44^\circ = 136^\circ\).

Step3: Solve for y

Divide both sides by 2: \(y=\frac{136^\circ}{2}= 68^\circ\).

Answer:

A. \(68^\circ\)