Find the unknown angles
1 answer:
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Question #1
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Question #2
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Answer:
Reference angle will be 30°
sin(330°) will be equal to
cos(330°) will be equal to 0.866
Step-by-step explanation:
We have given angle is 330°
As the angle is in forth quadrant
We know that in forth quadrant the reference angle is given by
Reference angle
As the angle is 330°
So the reference angle will be
Now we have to find the value of
sin(330°)
And now
There are several ways two triangles can be congruent.
<em> congruent by SAS</em>
<em> congruent by corresponding theorem</em>
In and
(see attachment), we have the following observations
--- Because O is the midpoint of line segment AD
--- Because O is the midpoint of line segment BC
---- Because vertical angles are congruent
---- Because vertical angles are congruent
Using the SAS (<em>side-angle-side</em>) postulate, we have:
Using corresponding theorem,
---- i.e. both triangles are congruent
The above congruence equation is true because:
- <em>2 sides of both triangles are congruent</em>
- <em>1 angle each of both triangles is equal</em>
- <em>Corresponding angles are equal</em>
See attachment
Read more about congruence triangles at:
