Answer:
60°
Step-by-step explanation:
tan 60 = sin 60 / cos 60
= [(root 3) / 2] ÷ [1/2]
= root 3
[sin 60 = (root 3) / 2 ; cos 60 = 1 / 2 ]
The missing angle of the given triangle is 59°.
What is vertically opposite angles?
Angles that are vertically opposed to one another are always equal to one another. A vertical angle and the angle to which it is next are also supplementary angles; that is, they sum up to 180 degrees. As an illustration, if two lines connect to form an angle, say X=45°, then the angle's opposite angle is also 45°.
Here consider angle with 31° and 49° triangle is 1. We know that sum of all angles in triangle is add upto 180°. Then,
⇒ 49°+31°+x = 180°
⇒ 80° + x= 180°
⇒x= 180°-80°=100°
Then unknown angle in triangle 1 ia 100°.
Now according to the vertically opposite angle theorem , opposite angles are equal to each other. Then ,
In triangle 2 angle is 100° and 21°. Then missing angle is,
⇒ 100°+21°+missing angle =180°
⇒Missing angle = 180°-100°-21°
⇒Missing angle = 59°
Therefore the answer is 59°.
To learn more about Vertical angle ,
brainly.com/question/18450499
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Answer:
2.08333333333
Step-by-step explanation:
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can I have brainliest
Answer: B. -27+452i
Step-by-step explanation: Simplify the real and imaginary parts of the expression.
Hope this helps you out.
Answer:
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