Question

question 10 of 10
what is the value of y?
56°
a. 68°
b. 56°
c. 112°
d. 44°

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, \(y+(y - 12)+56=180\).

Step2: Simplify the left - hand side

Combine like terms: \(y+y-12 + 56=2y+44\). So, \(2y+44 = 180\).

Step3: Isolate the variable term

Subtract 44 from both sides: \(2y=180 - 44\), which gives \(2y=136\).

Step4: Solve for y

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

Answer:

A. \(68^{\circ}\)