Question

the diagram shows a triangle.
what is the value of y?
y = \square^\circ

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(59^\circ + 49^\circ + 4y = 180^\circ\).

Step2: Calculate sum of known angles

Add \(59\) and \(49\): \(59 + 49 = 108\). So, \(108 + 4y = 180\).

Step3: Solve for \(4y\)

Subtract \(108\) from both sides: \(4y = 180 - 108 = 72\).

Step4: Solve for \(y\)

Divide both sides by \(4\): \(y = \frac{72}{4} = 18\).

Answer:

\(18\)