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in Mathematics by (106k points)

<1 and <2 are complementary angles <2 and <3 are supplementary angles. If <1 = 45°, then <3 measures 

(a) 145° (b) 135° (c) 45° (d) 150°

1 Answer

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(b) <1 + <2 90° (complementary angles)

<2 = 90° – <1  

90° – 45°

<2 = 45°

<2 + <3 = 180°(supplementary angles)

<3 = 180° – <2

<3 = 180° – 45° = 135°

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