The base angle of an isosceles triangle measures 54 degrees. What is the measure of its vertex angle?
1 answer:
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There are two -main- approaches to answer this problem. By using the sine identity, or applying law of sines.
We'll do the sine trig. identity, as it is the most effective.
Given an angle '
' in a right triangle, '
' is defined as the opposite side of the triangle to the given angle, over the triangle's hypotenuse.
So, for this setup:
Now, we solve for x:
So, answer is 3.4
We'll do the sine trig. identity, as it is the most effective.
Given an angle '
So, for this setup:
Now, we solve for x:
So, answer is 3.4
Answer:
150 tickets
Step-by-step explanation:
Given: Tickets sold at four different gates
Gate B sold 26 % tickets
Tickets sold at Gate B = 39
Let take x as total number of tickets sold at all four gates.
Now, using the value of gate B to find total number of tickets
∴
⇒
Next, cross multiply both side
⇒
∴ Total tickets sold at all the four gates is 150