Find the measure of ∠aed. a) 25° b) 65° c) 115° d) 155°

Option D. 155°

Step-by-step explanation:

Two lines AC and BD are intersecting each other at point E.

Since ∠DEC = ∠AEB [ opposite angles ]

5x = 3x = 10

2x = 10

x = 5 ⇒ ∠DEC = ( 3×5 ) + 10 = 15 + 10 = 25°

Now we have to find ∠AED

Since ∠AED + ∠DEC = 180° [Supplementary angles]

∠AED + 25 = 180

∠AED = 180 - 25

∠AED = 155°

Option D. is the answer.

good luck on your studies! : )

david edward.