8. if m∠ecd is six less than five times m∠bce, and m∠bcd = 162°, find each measure. m∠bce = m∠ecd =

Question

8. if m∠ecd is six less than five times m∠bce, and m∠bcd = 162°, find each measure. m∠bce =  m∠ecd =

Accepted Answer

# Explanation:
## Step1: Let $m\angle BCE = x$. Then $m\angle ECD=5x - 6$.
## Step2: Since $m\angle BCD=m\angle BCE + m\angle ECD$, we have $x+(5x - 6)=162$.
## Step3: Combine like - terms: $6x-6 = 162$. Add 6 to both sides: $6x=168$. Divide by 6: $x = 28$.
## Step4: Find $m\angle ECD$: $m\angle ECD=5	imes28 - 6=134$.
# Answer:
$m\angle BCE = 28^{\circ}$
$m\angle ECD = 134^{\circ}$

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Question

Explanation:

Step1: Let $m\angle BCE = x$. Then $m\angle ECD=5x - 6$.

Step2: Since $m\angle BCD=m\angle BCE + m\angle ECD$, we have $x+(5x - 6)=162$.

Step3: Combine like - terms: $6x-6 = 162$. Add 6 to both sides: $6x=168$. Divide by 6: $x = 28$.

Step4: Find $m\angle ECD$: $m\angle ECD=5\times28 - 6=134$.

Answer: