In triangle abc, if ac is congruent to cb, angle a = 3x + 18, angle b = 7x - 58, & angle c = 2x - 8, find x & the measure of each angle.

        Angle A = 75°

        Angle B = 75°

        Angle C = 30°

Explanation:

  If AC is congruent to CB, from figure given we have angle A = angle B.

  Angle A = 3x + 18

  Angle B = 7x - 58

  Angle C = 2x - 8

We have,

        3x + 18 = 7x - 58

         4x = 76

          x = 19

So,

        Angle A = 3*19 + 18 = 75°

        Angle B = 7*19 - 58 = 75°

        Angle C = 2*19 - 8 = 30°

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