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

The measure of angle E in the parallelogram is;

Option C; 87°

The parallelogram is missing and so i have attached it.

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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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

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