Question

The measure of five angle of a hexagon are 105⁰ each. Find the value of sixth angle.

(1)​

Answer 1

Number of sides in a hexagon=n=6

Sum of interior angles=(n−2)180∘=(6−2)180∘=720∘

Let the remaining angle be x

⇒x+100∘+120∘+130∘+140∘=720∘

⇒x+600∘=720∘

⇒x=720∘−600∘=120∘

∴ Measure of sixth angle is 120∘

Answer 2

Answer:

195°

Step-by-step explanation:

sum of all interior angles in hexagon= 720°

let the unknown angle be x°

then,

105+105+105+105+105+x=720

525 +x=720

x=720-525

x=195°