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User Callie J
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If the angle m∠EDH = 18° then m∠EDF = 72°

If a = 9 and c = 41, then the value of b = 40.

Since we have that DF is perpendicular to GE and GE is perpendicular to EH, then DHEG is a rectangle which implies that the angle m∠GDH is equal to 90°

Thus if m∠EDH = 18° then;

m∠EDF = 90 - 18

m∠EDF = 72°

Also, given that DF is perpendicular to GE, then the triangle ∆DGE is a right triangle and the Pythagoras rule can be used to find the value of b as follows:

a² + b² = c²

9² + b² = 41²

81 + b² = 1681

b² = 1681 - 81 {collect like terms}

b² = 1600

b = √1600 {take square root of both sides}

b = 40.

Therefore, the measure of the angle m∠EDF is 72°, and the value of b is 40 derived using the Pythagoras rule.

User Thorsten Lorenz
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