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SAT数学:角度例题 2

2019-09-12 SAT-数学 阅读

SAT Question
Rank: Medium
Topic: Algebra, Angles

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?
(A) 18
(B) 36
(C) 54
(D) 72

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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