Find the measures of the numbered angles in the figure, shown to the right. Name the theorem that justifies each answer.
M<1=
M<2=
M<3=
M<4=

Step-by-step explanation:

m∠1 + 75° = 180° [Linear pair of angles]

m∠1 = 180° - 75°

       = 105°

m∠2 = m∠1 [Opposite angles of a rectangle are equal]

m∠2 = m∠1 = 105°

m∠2 = m∠3 = 105° [Vertically opposite angles]

m∠3 = m∠4 = 105° [Corresponding angles]

Therefore, all four angles measure the same as 105°.

answer: the answer is 35%

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