Can someone please help me with 44. And 45?

Problem 44

The term "bisect" means "cut in half".

Since BD bisects angle ABC, this means the smaller angles ABD and DBC are congruent.

angle ABD = angle DBC

x+15 = 4x-45

15+45 = 4x-x

60 = 3x

3x = 60

x = 60/3

x = 20

Problem 45

We use the same idea as the previous problem

angle ABD = angle DBC

2x+35 = 5x-22

35+22 = 5x-2x

57 = 3x

3x = 57

x = 57/3

x = 19

44. x = 20

45. x = 19

Step-by-step explanation:

44:

x + 15 = 4x - 45

Subtract x from both sides.

15 = 3x - 45

Add 45 to both sides.

60 = 3x

Divide both sides by 3.

x = 20

45:

2x + 35 = 5x - 22

Subtract 2x from both sides.

35 = 3x - 22

Add 22 to both sides.

57 = 3x

Divide both sides by 3.

x = 19

898.1666667

step-by-step explanation:

5389/6 = 898.1666667