Question

question image

1. find the measure of the missing angle.

(image shows a triangle with angles 20°, 130°, and a ? for the missing angle)

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\).

Step2: Let the missing angle be \(x\)

We know two angles: \(20^\circ\) and \(130^\circ\). So, \(20^\circ + 130^\circ + x = 180^\circ\).

Step3: Calculate the sum of known angles

\(20 + 130 = 150\), so \(150^\circ + x = 180^\circ\).

Step4: Solve for \(x\)

Subtract \(150^\circ\) from both sides: \(x = 180^\circ - 150^\circ = 30^\circ\).

Answer:

The measure of the missing angle is \(30^\circ\).