Question

HELP ****

Find then measures of all four angles.

Answer 1

Explanation:

4x = 80 - x {Vertically opposite angles are equal}

Add 'x' to both sides

4x + x = 80

5x = 80

Divide both sides by 5

x = 80/5

x = 16

∠DEA = 4x = 4*16 = 64

∠BEC = 80 - x = 80 - 16 = 64

∠DEA + ∠AEB = 180 {linear pair}

64 + ∠AEB = 180

∠AEB = 180 - 64

∠AEB = 116

∠CED = ∠AEB {Vertically opposite angles}

∠CED = 116