Questions: Thé diagram shows three lines with some marked angle measures. Find the missing angle measures marked with question marks.

Thé diagram shows three lines with some marked angle measures.

Find the missing angle measures marked with question marks.
Transcript text: Thé diagram shows three lines with some marked angle measures. Find the missing angle measures marked with question marks.
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Solution

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Solution Steps

Step 1: Find the vertical angle to 35°

The vertical angle to 35° is also 35°.

Step 2: Find the supplementary angles to 35°

The supplementary angles to 35° are 180° - 35° = 145°.

Step 3: Find the vertical angle to 27°

The vertical angle to 27° is also 27°.

Step 4: Find the supplementary angles to 27°

The supplementary angles to 27° are 180° - 27° = 153°.

Final Answer:

The missing angles in the first intersection are 35° and 145°. The missing angles in the second intersection are 27° and 153°. \\(\boxed{35^\circ, 145^\circ, 27^\circ, 153^\circ}\\)

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