What is the measure of Zx?
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Аноним Аноним · Answer 1 · 2022-01-10T19:49:02+01:00

Answer:

[tex]\boxed{\tt x=47^{\circ}}[/tex]

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°

[tex]\tt x+133=180[/tex]

Subtract 133 from both sides:

[tex]\longmapsto\tt x+133-133=180-133[/tex]

[tex]\longmapsto \tt x=47^{\circ}[/tex]

_________________________

Аноним Аноним · Answer 2 · 2022-01-14T07:57:41+01:00

[tex]\huge\boxed{Hi\;there!}[/tex]

Here's something you should remember:

[tex]\bigstar[/tex] Complementary angles add up to 90 degrees.

[tex]\bigstar[/tex] 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 [tex]\bold{BOTH}[/tex] sides:

x=180-133

x=47 degrees

[tex]\huge\boxed{\boxed{\sf{Answer: \;47\;degrees\;:)}}}[/tex]

[tex]\bold{Hope\;it\;helps!}\\\bold{Good\;luck!}\\\rm{StillEnjoyingLife :)[/tex]