A side of the triangle below has been extended to form an exterior angle of 114º. Find the value of x.
114°

24

Step-by-step explanation:

x+90=114( sum of two interior angle of triangle is equal to its opposite exterior angle)

x=24

24 is the value for x and that's correct

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet