Calculate the values of x and y.
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Calculate the values of x and y.
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:
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:
y=43, x=47
Look at the angles shown in the figure below.
What is their relationship?
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Look carefully at triangle ABC! You have a 90° right angle at C and 47° at B. Using the triangle angle sum: .
Start with whichever triangle has two known angles. In this case, triangle ABC has 90° and 47°, so find y first. Then use that result in triangle ACD.
The small square at point C shows a 90° right angle. This is crucial information - without it, you couldn't solve for the unknown angles!
It's not a coincidence! In triangle ACD, you have 90° at C and 43° at A (which equals y). So .
Not really - you need to find y first because it becomes a known angle in triangle ACD. Always solve triangles in the order that gives you the information you need!
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