the angles of a pentagon are a°,(a+10),(a+20),(a+30),(a+40) work out the largest angle of the pentagon
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Answer: 128°.
Step-by-step explanation:
Sum of all angles of a pentagon
= 540°.
ATQ,
a° + (a+10) + (a+20) + (a+30) + (a+40)
= 540°
Removing brackets,
a + a+10 + a+20 + a+30 + a+40 = 540°
= 5a + 100 = 540
= 5a = 540-100
= 5a = 440
= a = 440/5 = 88
Therefore, the angles of the pentagon are 88°, 98°, 108°, 118° and 128°
Hence, the largest angle among them is 128°.
Hope it helps.
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