You know that a circle has an angle of 360 degrees. Also, you know that when two lines intersect, their interior angles are the same. So you are given angle BPD and angle CPA equals 146 and 164 respectively. The measure of angle BPD is 146 degrees
'Complement' = difference between an angle an 90 degrees.
'Supplement' = difference between an angle and 180 degrees.
Complement of A = 90 - A
Supplement of A = 180 - A
The problem says that the complement is 1/6 of the supplement, right ?
So <u> 90 - A = (1/6) x (180 - A)</u>
Multiply each side of this equation by 6 :
540 - 6 A = 180 - A
Subtract 180 from each side:
360 - 6 A = - A
Add 6A to each side :
360 = 5 A
Divide each side by 5 :
<u>A = 72°</u>
Answer:
35 ig it is correct i tried my best
Step-by-step explanation:
Answer: A symbol
Step-by-step explanation: Nothing in that picture gives a value for x
