Question

1. a triangle with angles 4x°, 44°, 104°; 4) a triangle with angles 25°, 127°, 7x°

Explanation:

Problem 2:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(4x + 104 + 44 = 180\).

Step2: Simplify the equation

Combine like terms: \(4x + 148 = 180\). Subtract 148 from both sides: \(4x = 180 - 148 = 32\).

Step3: Solve for x

Divide both sides by 4: \(x = \frac{32}{4} = 8\).

Step1: Use triangle angle sum

Sum of angles in a triangle is \(180^\circ\). So, \(25 + 127 + 7x = 180\).

Step2: Simplify the equation

Combine like terms: \(152 + 7x = 180\). Subtract 152 from both sides: \(7x = 180 - 152 = 28\).

Step3: Solve for x

Divide both sides by 7: \(x = \frac{28}{7} = 4\).

Answer:

\(x = 8\)

Problem 4: