Four exterior angles of a pentagon measure 20°, 81°, 33°, and 152°. what is the measure of the of the fifth exterior angle?

The measure of the fifth exterior angle is 74°

Step-by-step explanation:

To find the measure of the exterior angle of a polygon we need to know that;

The sum of the exterior angle of a polygon is 360° .

That is, if we add up all the exterior angle of a polygon, it is going to give us a total of 360° .

So in this question we have been given the measure of four of the exterior angle and we are asked to find the fifth exterior angle.

Let x be the measure of the fifth exterior angle.

20° + 81° + 33° + 152° + x  = 360°

286° +  x   =  360°

To get the value of x, we will subtract 286 from both-side of the equation;

286° +  x - 286° =  360° - 286°

(At the left-hand side of the equation, 286° will cancel-out -286° leaving us with just x, and the right-hand side of the equation 286° will be subtracted from 360°)

x = 360° - 286°

x = 74°

Therefore the measure of the fifth exterior angle is 74°.

answer:   segregation violated the equal protection clause of the 14th amendment, which holds that no state can “deny to any person within its jurisdiction the equal protection of the laws.”

details/explanation:

brown v. board of education of topeka, decided by the us supreme court in 1954, ruled that all americans are entitled to the same civil liberties and protections in regard to access to education. until that decision, it was legal to segregate schools according to race, so that black students could not attend the same schools as white students.   an older supreme court decision, plessy v. ferguson (1896), had said that separate, segregated public facilities were acceptable as long as the facilities offered were equal in quality.   in the case of brown v. board of education, that standard was challenged and defeated.   segregation was shown to create inequality, and the supreme court unanimously ruled segregation to be unconstitutional.

the ruling was important in advancing civil rights because it affirmed that the 14th amendment applies to all rights and privileges of citizens, including access to   education.   this was being violated by states whose laws supported the segregation of schools.   section 1 of the 14th amendment reads as follows:

make sure you have version 2.50

try looking in the very back of the book : )

step-by-step explanation:

you can download it here