Below is a question from a recent SAT exam. It is a non-calculator question that would typically take a student 1-2 minutes to complete.
In the figure above, point B lies on AD. What is the value of 3x?
To answer this question, we must realise that ABD is a right angle; therefore, CBD is also a right angle. All right angles are 90°.
AsCBD is made up of the three angles if we add them together they must make 90.
First, we simplify the left-hand side.
Now, we can solve this equation
The question asks us for the value of 3x. So we must multiply the value of x by 3
So, the answer is 54.
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