Respuesta :

Answer:  46 (choice B)

Explanation:

Segment BD is an altitude of the triangle, which means BD is perpendicular to AC. It indicates angle BDC is 90 degrees.

BDC = 90

5x-45 = 90

5x = 90+45

5x = 135

x = 135/5

x = 27

Use this value to find the other missing angle

angle BCD = x+19 = 27+19 = 46

Step-by-step explanation:

just slow down and think straight.

since BD is the height or altitude, it stands at a right angle on the baseline.

so, just as that we know

90 = 5x - 45

5x = 135

x = 27

for that reason

x + 19 = 27 + 19 = 46 degrees