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2. The intersection of roads S and T Creates a 44.4° angle. What are the complementary and supplementary angles of this intersection

Respuesta :

calculista

Answer:

Part a) The complementary angle is [tex]45.6\°[/tex]

Part b) The supplementary angle is [tex]135.6\°[/tex]

Step-by-step explanation:

Part A) Complementary angles

we know that

If two angles are complementary, then its sum is equal to 90 degrees

Let

x------> the complementary angle

[tex]m>x+44.4\°=90\°[/tex]

Solve for m<x

[tex]m>x=90\°-44.4\°=45.6\°[/tex]

Part B) Supplementary angles

we know that

If two angles are supplementary, then its sum is equal to 180 degrees

Let

x------> the supplementary angle

[tex]m>x+44.4\°=180\°[/tex]

Solve for m<x

[tex]m>x=180\°-44.4\°=135.6\°[/tex]

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