Triangle Angle Calculation: Find X and Y Given 43° and 47° Angles

Calculate the values of x and y.

AAABBBDDDCCC43°47°yx

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Step-by-step video solution

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00:00 Find X,Y
00:10 The sum of angles in a triangle equals 180
00:21 Collect terms and isolate X
00:41 This is the value of Y
00:46 We'll use exactly the same method to find X
01:01 Collect terms and isolate X
01:20 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Calculate the values of x and y.

AAABBBDDDCCC43°47°yx

2

Step-by-step solution

First, let's note that in triangle ACB we are given two angles.

Angle ABC equals 47 degrees, angle ACB equals 90 degrees.

Since the sum of angles in a triangle equals 180, we can calculate angle BAC and find the value of Y as follows:

1809047=43 180-90-47=43

Now let's look at triangle ACD, where we are also given two angles.

Angle CAD equals 43 degrees, angle ACD equals 90 degrees.

Since the sum of angles in a triangle equals 180, we can calculate angle ADC and find the value of X as follows:

1809043=47 180-90-43=47

3

Final Answer

y=43, x=47

Practice Quiz

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Look at the angles shown in the figure below.

What is their relationship?

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