Since triangle DEF = triangle JKL, m<D = m<J, m<E = m<K, m<F = m<L.
m<F = m<L = 90 degrees
m<K = m<E = 5(m<D)
but m<E + m<D = 90 degrees [right angled triangle]
5(m<D) + m<D = 90 degrees
6(m<D) = 90 degrees
m<D = 90 / 6 = 15 degrees.
The original number is 24
2 x 3 = 6
6 x 4 = 24
or
24 / 4 = 6
6 / 3 = 2
Answer:
Possible committee structures = 293930
Step-by-step explanation:
The combination expression is used here
²¹C₉ = 21!/(9!(21−9)!) = 293930
Angle D is 60° because it is a supplementary angle, meaning 180 (straight line) - 120 (angle A) = 60°
