What is 1/2(4+8x)+22=180

X=39

Step-by-step explanation:

1/2×(4+8x)+22=180 (factor expression)

1/2×2(2+4x)+22=180. (Reduce)

(2+4x)+22=180 (rewrite expression)

2+4x+22=180 (calculate)

24+4x=180 (move constant to right)

4x=180-24 (calculate)

4x=156 (divide both sides)

X=39

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°

ιт ιѕ 6/23

step-by-step explanation:

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