3 years ago

Solve for m please help

Mathematics

1 answer:

vampirchik [111]3 years ago

3 0

Answer:

∠ ADE = 59°

Step-by-step explanation:

The angles in a rectangle are right angles, then

∠ ABC = 90° , that is

4x + 15 + 13x + 7 = 90

17x + 22 = 90 ( subtract 22 from both sides )

17x = 68 ( divide both sides by 17 )

x = 4

Then

∠ CBE = 13x + 7 = 13(4) + 7 = 52 +7 = 59°

Since the sides in a rectangle are parallel then

∠ ADE = ∠ CBE ( alternate angles )

∠ ADE = 59°

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