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The angles of a pentagon are $x$ °, $(x + 10)$ °, $(x + 20)$ °, $(x + 30)$ ° and $(x + 40)$ °. What is the largest angle?

Competition practiceGeometry

A128°
B88°
C108°
D118°

Step-by-Step Solution

The angles of a pentagon add to 540°:

5 x + 100 = 540

, so

x = 88

and the largest angle is 88 + 40 = 128°.

Answer: A) 128°

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