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Create an accurate and visually appealing diagram without text. The image should feature an unfilled pentagon with equal sides placed in the middle, with five distinct angular points. At each of the five points, let's denote the interior angles as follows: one is marked as 'y+13', another as 'y+15', the third as 'y+23', the fourth as 'y+29', and the last one as 'y+40'. The diagram should be clear, neat, and structured, allowing for easy understanding of the question related to the angles.

The interior angles of a Pentagon are (y+13),(y+15),(y+23),(y+29), and (y+40).find the value of each interior angle

going round the outside clockwise you turn right 5 times so the average right turn outside is 360/5

the average inside angle is therefore 180 - 360/5 = 180 - 72 = 108
and the sum of the inside angles is
5*108 = 540
(y+13)+(y+15)+(y+23)+(y+29)+ (y+40) = 540
5 y + 120 = 540
5 y = 420
y = 84
y+13 = 97 etc

Please can you answer the second question 🙏

THE INTERIOR ANGLES OF A PENTAGON ARE (Y+13) DEGREES (Y+15) DEGREES (Y+23) DEGREES (Y+29) DEGREES(Y+40) DEGREES


@ FIND THE VALUE OF Y

(B) FIND THE VALUE OF EACH INTERIOR ANGLES

Pls answer the second question

The interior angle of a pentagon are (y+13), (y+15) (y+23), (y +29), (y+40). Find the value of each interior angles

Not good enough for me

I need you to answer me

I hope my answer was helpful. Is there anything else I can assist you with?

The sum of the interior angles of a pentagon is equal to 540 degrees. Thus, we can write an equation:

(y+13)+(y+15)+(y+23)+(y+29)+(y+40)=540

Simplifying the equation, we get:

5y+120=540

5y=420

y=84

Now we can find the value of each interior angle by substituting y=84:

(y+13)=97
(y+15)=99
(y+23)=107
(y+29)=113
(y+40)=124

Therefore, each interior angle measures: 97 degrees, 99 degrees, 107 degrees, 113 degrees, and 124 degrees.

97