Question

What is the measure of angle HEK in this figure?

a protractor, with segment DEF along the bottom, EH point to the 55 degree on the left, EJ to 90 degrees, EK to the 30 degrees on the right
85°
150°
95°
55°

Answer 1

Measure of angle HEK is: 85°.

Explanation:

Given that point E is the center of the protractor, we have:

angle HEJ = 55° (EH points to 55 degrees)

angle JEK = 30° (EK points to 30 degrees)

Since angle HEJ and angle JEK meets at a point E, then we can find angle HEK by summing up the two angles:

angle HEK = angle HEJ + angle JEK

angle HEK = 55° + 30°

angle HEK = 85°