Question

the angles of a pentagon are a°,(a+10),(a+20),(a+30),(a+40) work out the largest angle of the pentagon

Answer 1

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.