Supplementary is when 2 angles add up to 180°.
180°-40°=140°
Answer:
x = 13
Step-by-step explanation:
This question is based on Secant Secant theorem.
Secant Secant theorem gives us the following formula:
(AB + BD)AB = (AC + CE).AC
From the above question we have the following parameters
AB = 5
BD = x
AC = 7.5
CE = 4.5
Hence,
(AB + BD)AB = (AC + CE).AC
(5 + x)5 = (7.5 + 4.5)7.5
25 + 5x = 90
Collect like terms
5x = 90 - 25
5x = 65
x = 65/5
x = 13
it’s 350 or B. hope this helps! :)
Use the Pythagorean Theorem.
a² + b² = c²
3² + b² = 19²
9 + b² = 361
b² = 352
b = 4√11
Now, solve for the remaining angles by using the trigonometric ratios:
Sine = opposite/hypotenuse
sin(A)= 3/19
sininverse(3/19) = 9.1 = angle A
180-9.1-90 = 80.9 = angle B
