Given \qquad \overline{BA}\perp\overline{BD}

BA

⊥

BD

start overline, B, A, end overline, \perp, start overline, B, D, end overline

\qquad m \angle CBD = 4x + 52^\circm∠CBD=4x+52

∘

m, angle, C, B, D, equals, 4, x, plus, 52, degrees

\qquad m \angle ABC = 8x - 10^\circm∠ABC=8x−10

∘

m, angle, A, B, C, equals, 8, x, minus, 10, degrees

Find m\angle CBDm∠CBDm, angle, C, B, D: