Can you tell the measure of one exterior angle of an irregular pentagon if no other information is given?
1 answer:
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Step-by-step explanation:
STEP 1:
Find a length of third side.
Use the Pythagorean theorem:
STEP 2:
Use the trigonometric functions:
STEP 3:
Use theorem: the sum of the measures of acute angles of the right triangle is 90°.
Example:
We have the length of legs: a = 3, b = 4.
Let c = hypotenuse.
Use the Pyhagorean theorem:
Angle between a and c (β):
Use sine. Therefore b = opposite, c = hypotenuse:
<em>look at the picture</em>
<em>subtract 37° from both sides</em>
