If four angles of a convex pentagon measure 120°, 93°, 108°, and 101°, find the measure of the fifth angle. show equations and work that lead to your answer.

It is given in the question that

If four angles of a convex pentagon measure 120°, 93°, 108°, and 101°, find the measure of the fifth angle.

First we have to find the sum of measurement of all the angles of a convex pentagon, by using the formula

Where n is the number of sides. And for polygon, it is 5 .SO the  sum of measurement of angles of a polygon is

Let the measurement of missing angle be x .

So we have

29.5977692753

step-by-step explanation:

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116