Respuesta :

frika

Answer:

30°

Step-by-step explanation:

Segment MP is the diameter of the circle, hence angle MOP has the measure of 180°.

Angles MON and NOP are supplementary angles (add up to 180°). Thus,

m∠MON+m∠NOP=180°

m∠MON=180°-m∠NOP

m∠MON=180°-150°=30°.

Angle MON is the central angle subtended on the arc MN. Thus, the measure of the arc MN is 30°.

Answer:

Arc MN is 30°

Step-by-step explanation:

It's important to know that the whole arc of a circle is 360°.

So, if MP is a diameter, that means it divides the circle in two equal parts of 180° each.

Now, one half of this arc is formed by MN and 150°, so we can formulate the expression

[tex]MN+150\° = 180\° \\MN= 30\°[/tex]

Therefore, the arc MN is 30°.

Otras preguntas