imbadatmathandwhyidk
imbadatmathandwhyidk imbadatmathandwhyidk
  • 24-02-2020
  • Mathematics
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Don't just straight up tell me the answer, tell me how to do it please!
(30 points)

Dont just straight up tell me the answer tell me how to do it please30 points class=

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bhuvna789456
bhuvna789456 bhuvna789456
  • 01-03-2020

The measure of ∠DCB is 128°.

The measure of ∠ECD is 52°

Step-by-step explanation:

  • At the point of intersection, the opposite angles are equal.
  • Therefore, ∠ACB = ∠ECD and ∠ACE = ∠DCB
  • The measure of angle in straight line is 180°.

∠ACB + ∠ACE = 180°

(x+11)° + (3x+5)° = 180

⇒ 4x+16 = 180

⇒ 4x = 164

⇒ x = 164/4

x = 41°

∠DCB = ∠ACE ⇒ (3x+5)°

∠DCB = 3(41)+5 = 128°

∠ECD =∠ACB ⇒ (x+11)°

∠ECD = 41+11 = 52°

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