Four rays from point O form four angles. The angles are (2x)°, (3x)°, (x + 10)°, and (4x − 10)°. What is the size of the largest angle?
Show Worked Solution
Worked Solution
Step 1: Angles at a point sum to 360°.
2x + 3x + (x + 10) + (4x − 10) = 360
Step 2: Simplify.
10x + 0 = 360
10x = 360
x = 36
Step 3: Find each angle.
2x = 72°, 3x = 108°, x + 10 = 46°, 4x − 10 = 134°
Step 4: The largest angle is 134°.
Correct answer: 134°
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