What is the measure of ∠abc ?
ac←→ is tangent to the circle with center at b. the measure of ∠acb is 58°.

m∠ACB = 32°

Step-by-step explanation:

It is given in the question that AC is tangent on a circle at A.

m∠ACB = 58° then we have to tell the measurement of ∠ABC.

In ΔABC, ∠BAC = 90° (since radius of a circle is always ⊥ to the tangent drawn)

Therefore in ΔABC

∠ABC + ∠BAC + ∠ACB = 180°

∠ACB + 90 + 58 = 180

∠ACB = 180 - (90 + 58) = 180 - 148 = 32°

Finally m∠ ACB = 32° is the answer.

c

step-by-step explanation:

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)