Help please

68°

Step-by-step explanation:

BA and BD are perpendicular, so that makes a 90° angle.

If we add m∠ABC and m∠CBD we get 90°, and can solve for m∠CBD.

So:

m∠ABC + m∠CBD = 90°

4x + 52 + 8x - 10 = 90 Combine like terms

4x + 8x + 52 - 10 = 90

12x + 42 = 90 Subtract 42 from each side

12x + 42 - 42 = 90 - 42

12x = 48 Divide each side by 12

12x/12 = 48/12

x = 48/12

x = 4

Now that we've solved for x we can plug it into m∠CBD and solve.

4x + 52 = ??

4(4) + 52 = ??

16 + 52 = 68

m∠CBD = 68°