Question

1. find the measures of the interior angles of the triangle. the measures of the interior angles from least to greatest are a 25 < b <, and c

Explanation:

Step1: Use angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, \(x+(x + 65)+25=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \(2x+90 = 180\).

Step3: Solve for \(x\)

Subtract 90 from both sides: \(2x=180 - 90\), so \(2x=90\). Then divide both sides by 2, \(x = 45\).

Step4: Find the angle measures

One angle is \(x=45^{\circ}\), another is \(x + 65=45+65 = 110^{\circ}\), and the third is \(25^{\circ}\).

Step5: Arrange in ascending order

The angles in ascending order are \(25^{\circ}<45^{\circ}<110^{\circ}\).

Answer:

\(25^{\circ},45^{\circ},110^{\circ}\)