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

From the diagram attached, we can see that angle E and F are adjacent to each other and from angle laws of parallelogram, any two adjacent angles are supplementary angles and thus they sum up to 180°.

We are given;

∠E = (2x + 3)

∠F = (3x – 33)

Thus;

∠E + ∠F = 180°

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

2x + 3 + 3x - 33 = 180

5x -30 = 180

5x = 180 + 30

5x = 210

x = 210/5

x = 42°

∠E = 2(42) + 3

∠E = 84 + 3

∠E = 87°

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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​

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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