How do you find either side length?

AB   = 87.71°

BC  = 82.42°

Step-by-step explanation:

your calculations of the angles are correct:

m∠A = 180° - 90° - 20° = 70°

using the sine rule (see attached graphic for reference)

AB / sin ∠C   =   AC / sin ∠B   =   BC / sin ∠A

we know AC = 30, substituting the values for ∠A, ∠B and ∠C gives us:

AB / sin 90°   =   30 / sin 20°   =   BC / sin 70°

Considering side AB:

AB / sin 90°   =   30 / sin 20°

AB  =   (30 / sin 20°) x sin 90° = 87.71

Considering side BC:

BC / sin 70°   =   30 / sin 20°

BC =  (  30 / sin 20°) x sin 70° = 82.42°

Hope this helps!

oof tough question

step-by-step explanation:

sorry i can't ya : c gl tho

answer with step-by-step explanation:

a. ∠j is supplementary to ∠k - true:

(opposite angles of a trapezoid are supplementary which means that they add up to 180 degrees)

b. kl is parallel to jm - true:

(opposite sides are parallel to each other in a trapezoid)

c. jk is perpendicular to kl - false:

(clearly, jk does not make a right angle with kl)

d. jk is parallel to lm - false:

(jk and lm are two lines opposite in direction to each other so they cannot be parallel)

e. ∠j is congruent to ∠m - true:

(the angles on each side of the base are congruent)

f. ∠j is congruent to ∠k - false:

(the angles on the same side but opposite side of the base are not congruent)