Question

five of the angles of hexagon are 115°. calculate the measure of the sixth angle.

Answer 1

Hey mate here is your answer

hope it helps you

Angle sum of hexagon is 720 .
So,116*5(5 side are given)
=580
580+x=720        (x is the  sixth side of hexagon)
x=720-580
=140°

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Answer 2

Answer:

The measure of the sixth angle of the hexagon = 145°

Step-by-step explanation:

• Hexagon: Hexagon means a geometric shape with six sides.
• Six sides means six angles must be there in a hexagon.
• According to the value of angles hexagon can be regular or irregular.
• In a regular hexagon six angles will be equal to each other. The value of each angle will be 120°. So the total of all angles is 720°.
• In case of a irregular hexagon each angle will not be equal, but their total must be 720°.
• In the mentioned hexagon, each of the five angles = 115°.

        So total of 5 angles = 5 × 115° = 575°

         As the total of 6 angles = 720°

       ∴ The 6th angle = 720° - 575° = 145°