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3 years ago

What connects the exterior angle at C with the sum of the angles at A and B

Mathematics

1 answer:

hram777 [196]3 years ago

4 0

Answer:

∠ C = ∠ A + ∠ B

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, so

C = A + B

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3 years ago

Using polygon STUVW what is m angle U ?

bija089 [108]

Answer:

The m∠ U is 72°.

Step-by-step explanation:

Given:

$\angle S = 90\\\angle T = 2x\\\angle U = x\\\angle V = 2x\\\angle W = 90\\$

To find :

$\angle U = x = ?$

Solution:

The sum of the measures of the interior angles of a polygon with 'n' sides is given as

$\textrm{sum of the measures of angle of a polygon with 'n' sides} = (n - 1)\times 180$

Here we have n = 5 on substituting the values we get

$\angle S +\angle T + \angle U +\angle V + \angle W = (5 -2)\times 180\\90 + 2x + x + 2x + 90 = 3\times 180\\5x + 180 = 540\\5x = 540-180\\5x = 360\\x = \frac{360}{5}\\x = 72$

Therefore,

m∠ U is 72°.

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What connects the exterior angle at C with the sum of the angles at A and B​

What connects the exterior angle at C with the sum of the angles at A and B