Quadrilateral abcd is inscribed in this circle.

what is the measure of angle c?

Step-by-step explanation:

We know that sum of the opposite angles of the quadrilateral inscribed in the circle is 180.

Thus, ∠B+∠D=180°

⇒

⇒

⇒

⇒

Now, substituting the value of x in ∠A, we have

∠A=

Again, sum of opposite angles of the quadrilateral inscribe in circle=180, thus

∠C+∠D=180°

⇒

⇒

Therefore, the measure of ∠C is 107°.

12

step-by-step explanation:

12 + 5 = 17

12x2=24

24-7=17

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