Question

This one is a tough one. If you can explain it to me that’ll me great.

A. 78
B.84
C.73
D.79

Answer 1

C) 73

Explanation:

360-219=141

(x-50)+(x+45)=141

2x-50+45=141

2x-5=141

2x=141+5

2x=146

x=146/2

x=73

Answer 2

C. 73 if I have read the given angle measurements correctly.

The angle measurements I see are:

`219^\circ`

`(x-50)^\circ`

`(x+45)^\circ`.

Explanation:

Those angles together form a full rotation. A full rotation is equal to 360 degrees.

So we have the following equation to solve:

`219+(x-50)+(x+45)=360`

Combine like terms:

`(x+x)+(219-50+45)=360`

Simplify:

`2x+(219-5)=360`

`2x+214=360`

Divide both sides be 2:

`x+107=180`

Subtract 107 on both sides:

`x=180-107`

`x=73`