Calculate the value of the angle X.
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Calculate the value of the angle X.
To solve this problem, we will apply the triangle sum theorem:
Now, let's complete the steps:
Step 1: The angles presented form a triangle involving the angles , , and .
Step 2: Apply the triangle angle sum theorem: .
Step 3: Simplifying this we get:
Solve for :
Therefore, the value of angle is .
94
Find the measure of the angle \( \alpha \)
Look for three angles that meet at the three vertices of a triangle. In this problem, X, 41°, and 45° are the three interior angles that form the triangle.
Focus only on the interior angles of the triangle you're solving for. Extra angles might be exterior angles or part of other shapes - ignore them for the triangle angle sum.
This is a fundamental property of triangles in flat geometry. No matter what size or shape the triangle is, the three interior angles will always add up to exactly 180°.
Yes! The triangle angle sum theorem works for all triangles - acute, right, or obtuse. Just make sure you're identifying the correct interior angles.
That's fine! Angles can be decimal values or fractions. Just make sure your final answer makes sense (between 0° and 180° for interior angles).
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