Four interior angles of a pentagon measure 88 degrees, 118, 132, and 100. what is the measure of the fifth interior angle?

The angle is 102

Step-by-step explanation:

The interior angles of a polygon equal (n – 2)180  where n is the number of sides

A pentagon has 5 sides

(5-2)*180 = 540

The sum of the angles should be 540

Let x be the fifth angle

88+118+132+100 +x =540

Combine like terms

438+x = 540

Subtract 438 from each side

438-438+x = 540-438

x =102

The measure of the fifth interior angle is 102

Step-by-step explanation:

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step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2

step-by-step explanation: 4 cause 2+2=4