Question

Find m
please help me

Answer 1

m∠ADE = 59°

Explanation:

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°

Answer 2

∠ADE = 59°

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°