Answer:
x=25°, y=18°
Step-by-step explanation:
Solved! Here is the explanation. As we have supplementary angles, we have a total of 180° of angles. Angle BXD is a right angle, so 2x+40°=90°. 2x=50°, and then we have x=25°. Now, to figure out y, we have to look at angle BXA. In this case, 5y=90°. y=18°. So, x=25° and y=18°. Hope this explanation helps!
If you want to find cosP , since angles Z and P are 2 complementary angles then cosZ is the same as cosP so you say the cosP=sinZ=4/5 (property of 2 complement angles in a right triangle)
<u>Given</u>:
Given that the measure of ∠CDR = 85°
We need to determine the measure of
and 
<u>Measure of arc RC:</u>
Since, we know that if a central angle is formed by two radii of the circle then the central angle is equal to the intercepted arc.
Thus, we have;

Substituting the values, we get;

Thus, the measure of
is 85°
<u>Measure of arc CBR:</u>
We know that 360° forms a full circle and to determine the measure of arc CBR, let us subtract the values 360 and 85.
Thus, we have;

Substituting the values, we have;


Thus, the measure of
is 275°