Question

7) The measures of angles of a Hexagon are x°, (x-5), (x-5)(2x-5), (2x-5);
(2x+20)°
Find the value of x.​

Answer 1

Cᴏʀʀᴇᴄᴛ Qᴜᴇsᴛɪᴏɴ :-

• The angles of a hexagon measure x°, (x-5), (x-5) (2x-5) ,(2x-5) ,(2x+20)° find the value of x.

Gɪᴠᴇɴ :-

★ x + (x-5) + (x-5) + (2x-5) + (2x-5) + (2x+20)

Tᴏ Fɪɴᴅ :-

• Find the value of x.

Sᴏʟᴜᴛɪᴏɴ :-

• We know that sum of all angles of hexagon = 720 degrees.

$\sf\large\green{➯\:x + (x-5) + (x-5) + (2x-5) + (2x-5) + (2x+20) = 720}$

$\sf\large\green{➯\:8x = 720}$

$\sf\large\green{➯\:x = 720/8}$

$\sf\large\green{➯\:x=90 °}$