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Natalija [7]
3 years ago
6

The ration of two supplementary angles are 1:3 what is the measure of the smaller angle?​

Mathematics
1 answer:
Nastasia [14]3 years ago
7 0

Answer:

45°

Step-by-step explanation:

<u>Let </u><u>:</u><u>-</u><u> </u>

  • The ratio be 1x : 3x

<u>We </u><u>know </u><u>:</u><u>-</u>

  • The sum of supplementary angles is 180° .

<u>On </u><u>adding</u><u> </u><u>:</u><u>-</u><u> </u>

→ x + 3x = 180°

→ 4x = 180°

→ x = 180°/4

→ x = 45°

<h3>Hence the smaller angle is 45° .</h3>
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