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what is the value of u? u = square ^{circ }

Question

what is the value of u?
u = square ^{circ }

Explanation:

Step1: Use the property of isosceles triangle

Since two angles are equal (both \(4u\)), the triangle is isosceles. The sum of angles in a triangle is \(180^{\circ}\). So, \(60^{\circ}+4u + 4u=180^{\circ}\).

Step2: Solve the equation

Combine like - terms: \(60^{\circ}+8u = 180^{\circ}\).
Subtract \(60^{\circ}\) from both sides: \(8u=180^{\circ}- 60^{\circ}=120^{\circ}\).
Divide both sides by \(8\): \(u=\frac{120^{\circ}}{8} = 15^{\circ}\).

Answer:

\(15\)