Solve for x. what are the measures of the two angles shown? show your work

x = 34

Step-by-step explanation:

This is a straight line so the sum of angles must be 180°

4x + 20 + x - 10 = 180 add like terms

5x + 10 = 180 subtract 10 from both sides

5x = 170 divide both sides by 5

x = 34

To calculate each angle we replace x with the value we found

4x + 20 ➡ 4×34 + 20 = 156

x - 10 ➡ 34 - 10 = 24

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