Question

Plz I need help with this I am struggling failing math

Answer 1

Answer:

CB = 5, $m\angle{BDA} = 23^\circ$

Step-by-step explanation:

Assuming that the marks next to angle D mean that $\angle{BDA} \cong \angle{BDC}$, then there is enough information to conclude that the two right triangles are congruent (HA theorem--hypotenuse/angle).

Then all the corresponding parts of the two triangles are congruent, including segments BA and BC, making them the same length.

4x + 1 = 9x - 4

Solving for x,

1 = 5x - 4

5 = 5x

1 = x

Pluggint x = 1 into the two expressions reveals that the length of segment CB is 5.

The two small angles at D are congruent, so $m\angle{BDA}=23^\circ$.