The angle measures of a triangle are shown in the diagram.
What is the value of x?
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2 points
Captionless Image
A. 55
B. 21
C. 11
D. 28
Since we know that the sum of the angles in a triangle is 180 degrees, we can use this information to solve for x.
Let's call the measure of the third angle y.
We know that x + 90 + y = 180, as these are the measures of the three angles in the triangle.
Simplifying this equation, we get x + y = 90.
From the diagram, we can see that y = x + 10.
Substituting this value of y into the previous equation, we get x + (x + 10) = 90.
Combining like terms, we have 2x + 10 = 90.
Subtracting 10 from both sides, we get 2x = 80.
Dividing both sides by 2, we find that x = 40.
Therefore, the value of x is 40.
None of the given answer choices match the calculated value of x.
The angle measures of a triangle are shown in the diagram.
What is the value of x?
*
2 points
Captionless Image.