Answer:
m∠2 = 37°
m∠3 = 143°
m∠4 = 37°
Step-by-step explanation:
From the figure attached,
Two arms of the scissors represent he two lines intersecting each other at a point forming pairs of vertical angles ∠1, ∠3 and ∠2, ∠4.
By the definition of vertical angles,
∠1 ≅ ∠3 and ∠2 ≅ ∠4
Since, m∠1 = 143°
Therefore, m∠1 = m∠3 = 143°
m∠1 + m∠2 = 180° [Since linear pair of angles are supplementary]
143° + m∠2 = 180°
m∠2 = 180° - 143° = 37°
Therefore, m∠2 = m∠4 = 37°
