In parallelogram EFGH, the measure of angle E is (2x + 3) and the measure of angle F is (3x - 33). What is the measure of angle E?

36°

42°

87°

93

Question

Mathematics

Corky

5 March, 14:57

In parallelogram EFGH, the measure of angle E is (2x + 3) and the measure of angle F is (3x - 33). What is the measure of angle E?

36°

42°

87°

93

+2

Answers (1)

Know the Answer?

Yair Archer · Answer 1

87 deg

Step-by-step explanation:

Angles E and F are internal and adjacent to one another, hence they both add up to 180 deg

(2x+3) + (3x-33) = 180

2x+3 + 3x-33 = 180

5x - 30 = 180

5x = 180 + 30 = 210

x = 42 deg

Angle E = 2 (42) + 3 = 87 deg

In parallelogram EFGH, the measure of angle E is (2x + 3) and the measure of angle F is (3x - 33). What is the measure of angle E?36°42°87°93

In parallelogram EFGH, the measure of angle E is (2x + 3) and the measure of angle F is (3x - 33). What is the measure of angle E?

36°

42°

87°

93