Question

What is the measure of Zx?

Angles are not necessarily drawn to scale.
L
20
1330
O
MY
N
CO
0
2
MY
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4 of 4 ..

Answer 1

`\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 :)`

Answer 2

`\boxed{\tt x=47^(\circ)}`

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)`

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