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just olya [345]
4 years ago
15

Could someone help me with this

Mathematics
1 answer:
valkas [14]4 years ago
7 0

Answer:

angle x is 130 degrees

Step-by-step explanation:

Recall that the addition of all central angles of the full circle should add up to 360^o. There are two angles that are explicitly given: MON = 30^o, and POR = 80^o. The other piece of information is that the arc from M to R is 4 times the length of the smaller arc From N to M, and therefore, their angles should keep the same proportion. That is: angle MOR should be 4 times angle MON, which in math terms will be: MOR = 4 x 30^o, then MOR = 120^o.

Now, since the addition of all angles should total 360^o, we can find what angle "x" measures: 30^o+80^o+120^o+x=360^o\\230^o+x=360^o\\x=360^o-230^o\\x=130^o

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