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What is the vaule of u?

What is the vaule of u?-example-1

2 Answers

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Answer:

75

Explanation:

sum of all angle= (n-2)*180

=3*180

=540

2u+55+150+144+41=540

2u=150

u=75

User MindGame
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2 votes

Answer and Step-by-step explanation:

To find the value of u in the given diagram, we need to consider the fact that the sum of the interior angles of a convex polygon with n sides is given by the formula (n-2)*180 degrees.

In this case, we have a convex polygon with 5 sides, so n = 5.

Using the formula, we can find the sum of the interior angles:

Sum = (n-2)*180 = (5-2)*180 = 3*180 = 540 degrees

Next, we can subtract the known angles from the sum to find the value of u.

Given angles:

41 degrees

150 degrees

55 degrees

144 degrees

Total of known angles = 41 + 150 + 55 + 144 = 390 degrees

To find u, we subtract the total of known angles from the sum of the interior angles:

u = Sum - Total of known angles = 540 - 390 = 150 degrees

Therefore, the value of u is 150 degrees.

User Leonz
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8.7k points

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