Question

06 Four angles of a pentagon are 100°, 175°, 85° and 75º. Find the fifth angle.
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Answer 1

Answer:

105°..

Step-by-step explanation:

Sum of angle of Pentagon is 540°

then,

100° + 175° + 85° +75° + x = 540°

435° + x = 540°

x = 540° - 435°

x = 105°, ans..

Answer 2

$\huge\bf\pink{ᴀɴsᴡᴇʀ࿐}$

ʀᴇǫᴜɪʀᴇᴅ ᴀɴsᴡᴇʀ-:

Correct question:

Four angles of a pentagon are 100°, 175°, 85° and 75º. Find the fifth angle.

Solution:

Property of Pentagon-:

Sum of all angles = 540°

$\pink\longrightarrow$$\tt\angle{100}$+$\tt\angle{175}$+$\tt\angle{85}$+$\tt\angle{75}$+$\tt\angle{x}$ = 540°

$\pink\longrightarrow$x + 435° = 540°

$\pink\longrightarrow$x = 540° - 435°

$\pink\longrightarrow$x = 105°

Hence,the fifth angle is 105°

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