Question

one angle of a seven sided polygon is 114° and each of the other six angles is x°.find the magnitude of x°.​

Answer 1

Ꮋɪɪ ҒʀɪᴇɴᎠ ࿐

✧しᴇᴛ's sᴏʟᴠE ✧

Solution:-

Since each of the other Six angle is X°

⇾Sum of these six angles = 6x°

⇾Sum of the seven angles = 6x°

According to the formula :

Sum of interior angle of the Seven-Side Polygon

⇒( 2n - 4 ) × 90°

⇒( 2 × 7 - 4 ) × 90° =900°

⛬114° + 6x° = 900°

⇒6x° = 900° - 114° =786

⇒X° = 131°

Answer 2

one angle of a seven sided polygon is 114 and each of the other six angles is x.find the magnitude of x

X° = 131°