Equilateral triangle pbj is inscribed in a circle as shown. determine the measure of arc pb

The measure of arc PB is 120°

Step-by-step explanation:

Given: A equilateral triangle PBJ is inscribed in a circle with centre O as shown in attachment.

PBJ is an equilateral triangle. Equilateral triangle has equal angles and sides.

Measure of each angle equilateral triangle is 60°

Hence, ∠BJP=60°

∠BOP and ∠BJP lie on same arc of circle but ∠BJP make at circumference of circle and ∠BOP make at centre of circle.

∠BOP=2∠BJP (Because the angle which is subtended by an arc at the centre of a circle is double the size of the angle subtended at any point on the circumference)

Thus, ∠BOP=2 x 60 = 120°

Hence, The measure of arc PB is 120°

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation: