I will give brainliest please help asap. how do I do this and whats the answer?

RS = 12 units

Step-by-step explanation:

Ok so first, the line is going between triangle RQS.

Since angle RTS is 90 degrees, angle QTS is also 90 degrees.

These two split triangles are equal, so you can create an equation like so:

2x + 8 = 8x - 4

Add 4 to each side:

2x + 12 = 8x

Subtract 2x from each side:

12 = 6x

Divide each side by 6:

2=x

x=2

Subtitute to find RS:

2x + 8

2 ( 2 ) + 8

4 + 8

12

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°

idk

step-by-step explanation: