Question

find the measure of the missing angles. answer attempt 1 out of 2 d = ° e = ° f = °

Explanation:

Step1: Identify right - angle

The small square at angle $d$ indicates it is a right - angle. So $d = 90^{\circ}$.

Step2: Use angle - sum property for $e$

The sum of angles in a right - triangle formed by the lines is $180^{\circ}$. One angle is $90^{\circ}$ and another is $71^{\circ}$. Let the third angle be $e$. Then $e=180^{\circ}-90^{\circ} - 71^{\circ}=19^{\circ}$.

Step3: Use vertical - angle property for $f$

Vertical angles are equal. Angle $f$ and the given $71^{\circ}$ angle are vertical angles. So $f = 71^{\circ}$.

Answer:

$d = 90^{\circ}$, $e = 19^{\circ}$, $f = 71^{\circ}$