Respuesta :

bawbdmo

When two lines intersect, (in this case it's a ray and a line), they form a linear pair. Here, we know that [tex] 93+3x+18=180 [/tex] because those two angles form a linear pair. Solving for x we have :

[tex] 111+3x=180 \implies \\
3x=69 \implies \\
x=23 [/tex]

Creati

The angle is a straight angle. Straight angles measure 180°. One of the angles measures 93°. Subtract 93 from 180.

[tex] 180 - 93 = 87 [/tex]

That means:

[tex] 3x + 18 = 87 [/tex]

Switch it around and it becomes:

[tex] 87 - 18 = 3x [/tex]

The sign changes when you move it to the other side. at first you were adding, and now you're subtracting.

Subtract:

[tex] 87 - 18 = 69 \\ 3x = 69 [/tex]

Divide both sides by 3 to leave the variable alone:

[tex] 3x \div 3 = x \\ 69 \div 3 = 23 [/tex]

That means x = 23