Given \qquad m \angle ABD = 96^\circm∠ABD=96
∘
m, angle, A, B, D, equals, 96, degrees
\qquad m \angle CBD = 6x + 27^\circm∠CBD=6x+27
∘
m, angle, C, B, D, equals, 6, x, plus, 27, degrees
\qquad m \angle ABC = 7x - 9^\circm∠ABC=7x−9
∘
m, angle, A, B, C, equals, 7, x, minus, 9, degrees
Find m\angle CBDm∠CBDm, angle, C, B, D:

Which ordered pair (c, d) is a solution to the given system of linear equations- c+2d=13 -9c-4d=-15

What is the location of point g, which partitions the directed line segment from d to f into a 5: 4 ratio? –1 0 2 3

In the figure below, ∠dec ≅ ∠dce, ∠b ≅ ∠f, and segment df is congruent to segment bd. point c is the point of intersection between segment ag and segment bd, while point e is the point of intersection between segment ag and segment df. the figure shows a polygon comprised of three triangles, abc, dec, and gfe. prove δabc ≅ δgfe.