Question

what is the value of t? 137.8°

Explanation:

Step1: Use the property of supplementary angles

The sum of an angle and its supplementary angle is \(180^{\circ}\). Let the angle adjacent to \(137.8^{\circ}\) be \(x\), then \(x = 180^{\circ}- 137.8^{\circ}\).

Step2: Calculate the value of \(x\)

\(x=180 - 137.8=42.2^{\circ}\).

Step3: Use the property of angle bisector (assuming the ray divides the supplementary angle into two equal parts, as per the common problem - type for such a diagram)

If \(t\) is half of the supplementary angle of \(137.8^{\circ}\), then \(t=\frac{180 - 137.8}{2}\)

$$t=\frac{42.2}{2}=21.1^{\circ}$$

Answer:

\(21.1\)