Question

the triangle below is isosceles. find the value of x. x = ? 44° (4x + 8)°

Explanation:

Step1: Recall isosceles triangle property

In an isosceles triangle, the base angles are equal. So the two given angles \(44^\circ\) and \((4x + 8)^\circ\) are equal.

Step2: Set up the equation

Set \(44 = 4x + 8\).

Step3: Solve for x

Subtract 8 from both sides: \(44 - 8 = 4x\), so \(36 = 4x\). Then divide both sides by 4: \(x=\frac{36}{4}=9\).

Answer:

9