Question

Find the measure of x in the given figure.

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Answer 1

• Value of x is 110°.

Step-by-step explanation:

To find :-

• Value of x.

Solution:-

The given figure is the Pentagon because this polygon have five sides and five interior and exterior angles as well.

We know,

Sum of all exterior angles of Pentagon is 360°.

• If we talk about interior angles of Pentagon then, Sum of all interior angles is 540°. Measure of one interior angle of regular Pentagon is 108°.

So,

➝ 100° + 65° + 45° + 40° + x = 360°

➝ 110° + x = 360°

➝ x = 360° - 110°

➝ x = 110°

Verification:-

➝ 100° + 65° + 45° + 40° + x = 360°

➝ 100°+ 65° + 45° + 40° + 110° = 360°

➝ 360° = 360°

Hence, Verified!!.

Therefore,

Value of x is 110°.

Answer 2

Answer:

Տ0Ꮮղ :-

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ᴡᴇ ɴᴇᴇᴅ ᴛᴏ ꜰɪɴᴅ ᴠᴀʟᴜᴇ ᴏꜰ

∠x= ?

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In geometry, a pentagon is any five-sided polygon or 5-gon. The sum of the internal angles in a simple pentagon is 540°. A pentagon may be simple or self-intersecting. A self-intersecting regular pentagon is called a pentagram.

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ᴡᴇ ᴋɴᴏᴡ,

Sum of all exterior angles of Pentagon is 360°

ʟᴇᴛ'ꜱ ꜱᴛᴀʀᴛ ᴛᴏ ꜰɪɴᴅ ᴀɴꜱᴡᴇʀ,

⇒100°+65°+40°+45°+x° = 360°

⇒250°+x° =360°

⇒ x° = 360° -250°

⇒ x° =110°