Angle r° = 2w°. what is the measure of angle r°?

a. 120 degrees
b. 286 degrees
c. 240 degrees
d. 143 degrees

Option B. 286 degrees

Step-by-step explanation:

see the attached figure with letters to better understand the problem

step 1

Find the measure of angle BAD in triangle A

----> by supplementary angles (form a linear pair)

step 2

Find the measure of angle ABD in triangle A

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

we have

substitute

step 3

Find the measure of angle w

we know that

----> by supplementary angles (form a linear pair)

we have

substitute

step 4

Find the measure of angle r

we have

----> given problem

substitute the value of w

answer4 to the second power is 16

and 4 to the third power is 64,