Question

find the measure of the missing angles.
answer
attempt 1 out of 3
d = ° e = ° f = °

Explanation:

Step1: Find the measure of angle \(d\)

By the definition of a right - angle (marked with a square), \(d = 90^{\circ}\).

Step2: Find the measure of angle \(f\)

Since \(f\) and the \(119^{\circ}\) angle are supplementary (they form a linear pair), \(f=180^{\circ}- 119^{\circ}\).

$$f = 61^{\circ}$$

Step3: Find the measure of angle \(e\)

Since \(e\) and \(f\) are supplementary (they form a linear pair), \(e = 180^{\circ}-f\). Substitute \(f = 61^{\circ}\), so \(e=180^{\circ}-61^{\circ}\).

$$e = 119^{\circ}$$

Answer:

\(d = 90^{\circ}\), \(e = 119^{\circ}\), \(f = 61^{\circ}\)