(1) The value of x is 25
(2) The measure of ∠CBD is 60°
Explanation:
(1) The given two angles are vertical angles. Since, vertical angles are equal, we can add the two angles to determine the value of x.
Thus, we have,

Subtracting 5x from both sides, we have
Adding 10 to both sides , we have,

Thus, the value of x is 25.
(2) It is given that the measure of ∠ABC = (x+7)° and ∠CBD = (2x+14)°
Since, these two angles are supplementary angles and supplementary angles add upto 90°
Thus, we have,

Simplifying, we get,



Thus, substituting the value of x in ∠CBD = (2x+14)° to determine its value.

Thus, the measure of ∠CBD is 60°
Rotation and reflection are instances of transformation
See attachment for the new position of 
From the question, we have:


The rule of 90 degrees clockwise rotation is:

Using the above transformation, the new points would be



The next transformation is reflection over the x-axis
The rule of this transformation is:

So, the new points would be:



See attachment for the new points
Read more about transformation at:
brainly.com/question/11709244
Answer: 7
Step-by-step explanation:
The answer to this is 5a-7