Leniemaningoidn
Answered

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What is the value of x of the given figure?

on the pic​

What Is The Value Of X Of The Given Figureon The Pic class=

Sagot :

MissyArelleeeeeidn

QUESTION:

What is the value of x of the given figure?

ANSWER:

The figure shows a five-sided polygon, pentagon, which has it's five exterior angles. Three of them are given, one is a right angle (90°) while the other is unknown.

Note that the sum of the exterior angles if a polygon is 360°.

[tex]\sf S= a+b+c+d+e[/tex]

[tex]\sf 360 \degree= 90 \degree+60 \degree+46 \degree+ 73 \degree+e[/tex]

[tex]\sf 360 \degree= 150\degree+46 \degree+ 73 \degree+e[/tex]

[tex]\sf 360 \degree= 196 \degree+ 73 \degree+e[/tex]

[tex]\sf 360 \degree= 269 \degree+e[/tex]

[tex]\sf 360 \degree - 269 \degree = e[/tex]

[tex]\sf e = 91 \degree[/tex]

Therefore, the value of x, which is also e, is 91°.

XxKhiferSmithXxidn

ASNWER:

Value is = → 91°

SULUTION:

[tex]••••••••••••••••••••••••••••••••••••••••••••••••••[/tex]

the sum of the interiur angles of pentagon

  • → ( 5 — 2 ) × 180° = 540°

the sun of angles of suneapairs :

  • → 5 × 18° = 900°

in the sum of the exterior angles :

  • → 900°—540°=300°

Final Answer:

→ in 90° + 60 + × + 46 + 73° = 360° × =91°

[tex]••••••••••••••••••••••••••••••••••••••••••••••••••[/tex]

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