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2 years ago

100 points!!!Please help me I suck at math

Mathematics

2 answers:

vekshin12 years ago

5 0

Answer:

23 degrees

Step-by-step explanation:

We see that arc LM is 67 degrees. By definition, that means that the central angle <LPM also equals 67 degrees.

We also see that arc LMO is just a semicircle, which means that it is 180 degrees, by definition (because a whole circle is 360 degrees and a semicircle is just half a circle). In addition, angle MPN has that little square in its angle, which means that it is 90 degrees. By definition, its arc MN is also equal to 90 degrees. Then:

Arc LMO = arc LM + arc MN + arc ON

180 = 67 + 90 + arc ON

Solving, we get that arc ON = 180 - 67 - 90 = 23 degrees. By definition, that means the corresponding central angle <NPO is also equal to 23 degrees.

Notice that angles NPO and KPL are vertical angles, which means that by definition, they are equal in degree measure. So, since <NPO = 23, then <KPL = 23. Arc KL is the corresponding arc of <KPL, so by definition, arc KL is also 23 degrees.

Thus, the answer is 23 degrees.

Hope this helps!

IRINA_888 [86]2 years ago

4 0

Answer:

23°

Step-by-step explanation:

Angle KL = Angle MK - Angle ML

= 90 - 67

= 23

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