Question

find the measure of x in the following figure​

Answer 1

REQUIRED ANSWER :

:$\implies$ As we see the given figure with 5 sides, so the sum of interior angles of this polygon is =

( n - 2 ) × 180° = 3 × 180° = 540°

So in the figure we have ,

: $\implies$m ∠1 + 60° = 160° ( angle of straight line is 180)

: $\implies$m ∠1 = 180° - 60° = 120°

and also , m ∠2 + 70° = 180° ( angle of straight line is 180° )

: $\implies$m ∠ 2 = 180° - 70° = 110°

therefore, the internal integers angle

: $\implies$m ∠ 1+ m ∠ 1 + x + 30° + x = 540

: $\implies$120° - 110° - 2x + 30° = 540°

: $\implies$2x = 540° - 260° = 280

: $\implies$x = 280°/ 2 = 140 °

HENCE 140° IS REQUIRED ANSWER

Hope this answers your question,

Cheers! :)

Answer 2

Answer:

REQUIRED ANSWER :

:\implies⟹ As we see the given figure with 5 sides, so the sum of interior angles of this polygon is =

( n - 2 ) × 180° = 3 × 180° = 540°

So in the figure we have ,

: \implies⟹ m ∠1 + 60° = 160° ( angle of straight line is 180)

: \implies⟹ m ∠1 = 180° - 60° = 120°

and also , m ∠2 + 70° = 180° ( angle of straight line is 180° )

: \implies⟹ m ∠ 2 = 180° - 70° = 110°

therefore, the internal integers angle

: \implies⟹ m ∠ 1+ m ∠ 1 + x + 30° + x = 540

: \implies⟹ 120° - 110° - 2x + 30° = 540°

: \implies⟹ 2x = 540° - 260° = 280

: \implies⟹ x = 280°/ 2 = 140 °

HENCE 140° IS REQUIRED ANSWER

Hope this answers your question,

Cheers! :)