Questions: Angle Sum Theorem Solve for a .

Transcript text: Angle Sum Theorem Solve for a .

Solution

Solution Steps

Step 1: Write the equation using the Angle Sum Theorem

The sum of the angles in a triangle is 180°. In the given triangle, the angles are 38.5°, 58.5°, and _a_. So we can write the equation: \(38.5 + 58.5 + a = 180\)

Step 2: Simplify and solve for _a_

Add the two known angles: \(97 + a = 180\) Subtract 97 from both sides of the equation: \(a = 180 - 97\) \(a = 83\)

Final Answer

\\(\boxed{a = 83^\circ}\\)

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