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Step 1:I'll solve this problem step by step using precise geometric construction techniques:
Step 2:: Understand the Angle Construction
- We want to create an angle that is $$135^{\circ}
To draw a 135 -degree angle, we'll use a systematic approach that breaks this into manageable geometric steps:
Step 3:: Angle Decomposition Strategy
- Add an additional $$45^{\circ}$$ to reach $$135^{\circ}
- Start with a right angle (90^{\circ})
Step 4:: Construction Method
Step 5:
Draw a horizontal line segment as the first ray
Step 6:
Use a protractor or compass to construct a $$90^{\circ}$$ angle
Step 7:
From the $$90^{\circ}$$ line, rotate an additional $$45^{\circ}$$ to create the second ray
Step 8:: Verification
- Total angle between rays: $$90^{\circ} + 45^{\circ} = 135^{\circ}
- First ray: Horizontal line
Final Answer
A 135 -degree angle can be accurately drawn by first creating a right angle and then rotating an additional 45 degrees from the original ray.
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