A rectangle has corners E, F, G, D, starting from top left and going clockwise. Point H is halfway between E and F. 2 lines are inscribed in the rectangle. One line goes from D to H and another goes from H to G. Angle E D H is (5 x) degrees and angle H D G is (4 x) degrees. Angles E D G and F G D are right angles.

What is the measure of AngleEDH?

10°

40°

50°

90°

Angle EDH = 50°

Step-by-step explanation:

The picture above is the rectangle formed from the illustration above. The angle EDH is given as 5x° and angle  HDG is given as 4x° . The angles EDG and FGD are right angles . That means both angles are equivalent to 90° .

Angle EDH  = 5x°

Angle HDG = 4x°

Angle EDG = 90°

Therefore,

5x + 4x = 90

9x = 90

divide both sides by 9

x = 90/9

x = 10°

Angle EDH = 5x = 5 × 10 = 50°

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step-by-step explanation:

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