Need help with this math problem

Mathematics

1 answer:

adelina 88 [10]3 years ago

3 0

The value of b is: 4

Step-by-step explanation:

The given polygon is a convex polygon with three sides. A polygon with three sides is called triangle. The sum of interior angles of a triangle is 180°

So,

$Sum\ of\ Angles = 180\\(b+41)+(101)+(b+30) = 180\\b+41+101+b+30 = 180\\2b+172 = 180\\2b = 180-172\\2b = 8$

Dividing both sides by 2

$\frac{2b}{2} = \frac{8}{2}\\b = 4$

Hence,

The value of b is: 4

Keywords: Polygons, Triangles

Learn more about polygons at:

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