Question

In the figure , Find the value of x

Answer 1

Answer:

$\bold\red{What\:is\:the\:name\:of \:the\:figure?}$

This is a Pentagon

$\bold\red{Given}$

A Pentagon has 5 sides.

•°• the 5 angles are

• 85°
• 92°
• 89°
• 20°
• x°

$\bold\red{To\:find}$

Here we have to find the 5th angle which is x

$\bold\red{Formula}$

Sum of exterior angles of any polygon is 360°

•°• ∠1 + ∠2 + ∠3 + ∠4 + ∠5 = 360°

$\bold\red{Solution}$

= ∠1 + ∠2 + ∠3 + ∠4 + ∠5 = 360°

= 85° + 92° + 89° + 20° + x = 360°

= 286° + x = 360°

= x = 360 - 286

= x = 74°

•°• ∠5 = x = 74°

$\bold\red{Verification}$

= 85° + 92° + 89° + 20° + x = 360°

Here x = 74°

= 85° + 92° + 89° + 20° + 74° = 360°

= 360° = 360°

Hence Proved! ∠5 = x = 74°