Question Help 0
In the figure, mZ1 = (6x + 8), mZ2 = (4x + 14), and mZ4=(11x + 10)°.
Your friend incorrectly says that mZ4=80°. What is mZ4? What mistake
might your friend have made?
This gure is not to scale
m24 =
°

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

step-by-step explanation:

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the answer is d

step-by-step explanation:

you can also use mathway to get you answer + steps

the best estimate is 3 because   8 can only go into 24 3 times