Answer:
x = 13°
Step-by-step explanation:
The total must be 180°.
105° + 62° = 167°
180° - 167°
13°
Angle OPM and Angle LMK
When angles are corresponding, they're essentially on the same side. It's sort of hard to explain, so I'll attach a drawing. The one on the left with the check mark is a corresponding angle, and the one on the right with the X is a same-side angle. Essentially, corresponding angles are on the same side and are also equal, unlike same-side angles, which are supplementary angles.
Let me know if you don't understand my explanation.
-T.B.
By the chain rule,
We also have
,
, and
, so at this point we get
The measure of angle m∠PZQ is 63degrees.
<h3>How to find an angle?</h3>
A point where two or more line segments meet is called a vertex.
The vertex point also forms an angle.
Therefore,
point P is in the interior of ∠OZQ,
Hence,
<OZQ = <OZP + m∠PZQ
The following angles are given:
m∠OZQ = 125°
m∠OZP = 62°
Substitute the given values into the expression above:
125 = 62 + m∠PZQ
m∠PZQ = 125 - 62
m∠PZQ = 63°
Therefore, the measure of the angle m∠PZQ is 63degrees
learn more on angles here: brainly.com/question/11000242
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