I CANT FIGURE THIS OUT

This is the same as saying x < 0.5 since 1/2 = 0.5

Work Shown:

2(1-x) > 2x

2*1 + 2*(-x) > 2x distribute

2 - 2x > 2x

2 > 2x+2x adding 2x to both sides

2 > 4x

4x < 2 flip both sides; flip the inequality sign

x < 2/4 dividing both sides by 4; see note below

x < 1/2

Note: We do not flip the inequality sign here because we are dividing both sides by a positive value. The inequality sign would only flip if you divide both sides by a negative number.

step-by-step explanation:

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°