What is the measure of the angle that the slide makes with the ground, x, to the nearest degree? 28° 36° 54° 62°

36°

Step-by-step explanation:

The computation of the measure of the angle is shown below:

As we know that

The trigonometric function in the right angle is

sinα = OS ÷ H

And,

cosα = AS ÷ H

Here

α represent the one of the angles

OS and AS represent the opposite sides

And, H represent the hypotenuse

So

sinx = 8.5 ÷ 14.5

x = arcsin =  8.5 ÷ 14.5

= 35.88

= 36 degrees

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°

6e14 is the answer.