5(x+4)> 2x-7 solve the inequality

-9＞x

Step-by-step explanation:

5(x+4)＞2x-7

5x+20＞2x-7

5x+20＞2x-7

    +7           +7

5x+27＞2x

        ↓

5x+27＞2x

-5x        -5x

27＞-3x

      ↓

27＞-3x

-3     -3

= -9＞x

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°