Answer:
∠ADE = 59°
Step-by-step explanation:
4x + 15° + 13x + 7° = 90°
combine like terms:
17x + 22° = 90°
subtract 22° from both sides of the equation:
17x = 68°
divide both sides by 17:
x = 4
∠ADE = ∠CBD = 13(4) + 7 = 59°
m∠ADE is the same as m∠BCE, so
m∠ADE = (13x+7)°
In rectangle all angles are 90°, so:
4x + 15 + 13x + 7 = 90
17x + 22 = 90
17x = 90 - 22
17x = 68
x = 68÷17 = 4
Therefore:
m∠ADE = (13×4+7)° = 59°
