Question

find the measure of the missing angles.
answer attempt 1 out of 2
d = \boxed{\space}^\circ \quad e = \boxed{\space}^\circ \quad f = \boxed{\space}^\circ

Explanation:

Step1: Determine angle d

Horizontal and vertical lines are perpendicular, so \( d = 90^\circ \).

Step2: Determine angle f

Vertical angles are equal; f is vertical to the 40° angle, so \( f = 40^\circ \).

Step3: Determine angle e

e and f are supplementary (linear pair), so \( e = 180^\circ - f = 180^\circ - 40^\circ = 140^\circ \).

Answer:

d = 90°, e = 140°, f = 40°