Question

What is the measure of Zx?

Answer 1

Answer:

$\boxed{\tt x=47^{\circ}}$

Step-by-step explanation:

From the given diagram, we can see that ∠MON and ∠LOM are supplementary angles.

*Supplementary angles are two angles whose measures add up to 180° *

m∠LOM+m∠MON=180°

$\tt x+133=180$

Subtract 133 from both sides:

$\longmapsto\tt x+133-133=180-133$

$\longmapsto \tt x=47^{\circ}$

_________________________

Answer 2

$\huge\boxed{Hi\;there!}$

Here's something you should remember:

$\bigstar$ Complementary angles add up to 90 degrees.

$\bigstar$ Supplementary angles add up to 180 degrees.

Here, we have two supplementary angles. Their measures are:

133 and x.

We know that supplementary angles add up to 180 degrees, so all we have to do is solve this equation for the unknown variable, x:

x+133=180

We subtract 133 from $\bold{BOTH}$ sides:

x=180-133

x=47 degrees

$\huge\boxed{\boxed{\sf{Answer: \;47\;degrees\;:)}}}$

$\bold{Hope\;it\;helps!}\\\bold{Good\;luck!}\\\rm{StillEnjoyingLife :)$