Question

In the given figure find :
1. angle ACD
2. angle AED​

Answer 1

Answer:

∠ACD = 55°

∠AED = 107°

Step-by-step explanation:

Use theorem --> Exterior angle = sum of remote angles

∠ACD = ∠BAC + ∠ABC = 15 + 40 = 55°

∠AED = ∠ACD + ∠ADC = 55 + 52 = 107°

Answer 2

Answer:

please mark me as brilliant and follow me.

Step-by-step explanation:

triangle ABC angle sum property

angle A+angle B+ angle C

40°+15°+angle C= 180°

55°+angle C = 180°

angle C =180°-55°=125°

angle ACB+ angle ACD=180°( linear pair).

125°+ angle ACD=180°

angle ACD = 180°- 125°

angle ACD=55°

angle ACD+angle ADC+ angle DEC= 180°( angle sum property).

55°+52°+ angle DEC= 180°.

angle DEC=180°-107°

angle DEC= 73°

angle DEC+ angle AED=180°( linear pair).

73°+ angle AED= 180°

angle AED=180°- 73°

angle AED=107°