In abc the measure of angle a is 2x+3 the measure of angle b is 4x+2 the measure of angle c is 2x-1 what are the measures of the angles

IN A triangle, sum of all angles = 180 degrees

2x + 3 + 4x+2 + 2x -1 = 180

8x +4  = 180

8x = 176

x = 176 /8 = 22 degrees

the angles are A = 2(22)+3 = 44+3 = 47 DEGREES

B = 4(22)+2 = 88 + 2 = 90 DEGREES

C = 2(22) -1 44-1 = 43 DEGREES

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