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Answer:
m∠1 = 45°
Step-by-step explanation:
We know that,
Sum of two interior angles of a triangle is equal to its exterior angle opposite to them.
Thus,
85° + m∠1 = 130°
m∠1 = 130° - 85°
m∠1 = 45°
OR
2nd interior angle + 130° = 180° [Linear Pair]
2nd interior angle = 180° - 130°
2nd interior angle = 50°
We know that,
By Angle Sum Property of a Triangle,
85° + 50° + m∠1 = 180°
135° + m∠1 = 180°
m∠1 = 180° - 135°
m∠1 = 45°
Hence,
m∠1 = 45°
Hope it helped and believing you understood it........All the best
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