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Measure of the smaller angle is 75°

Step-by-step explanation:

  • Step 1: Sum of supplementary angles is 180°. Given ratio of angles is 5:7.

Let angles be 5x and 7x.

⇒ 5x + 7x = 180

⇒ 12x = 180

⇒ x = 15

  • Step 2: Calculate smaller angle which is 5x

⇒5x = 5 [tex]\times[/tex] 15 = 75°

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