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Answered

what are the complementary and supplementary angle of 78°?​

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GLORIAALFERO07IN

Answer:

The supplement of an angle of 78 is 102. Supplementary angles are angles whose sum is equal to 180. To get the measurement of a supplement of an angle subtract that angle from 180. Subtracting 78 from 180 will give you 102.

Answer:

Complementary Angle = 12°

Supplementary Angle = 102°

Step-by-step explanation:

Let the complementary and supplementary angle of 78° be c and s.

Complementary angles are two angles that have a sum of 90°

Thus,

[tex]\rm78^{\circ}+c = 90^{\circ}[/tex]

[tex]\rm{c = 90^{\circ} - 78^{\circ}}[/tex]

[tex]\boxed{\rm{c=12^{\circ}}}[/tex]

Supplementary angles are two angles that have a sum of 180°

Thus,

[tex]\rm{78^{\circ} + s = 180^{\circ}}[/tex]

[tex]\rm{s = 180^{\circ} - 78^{\circ}}[/tex]

[tex]\boxed{\rm{s = 102^{\circ}}}[/tex]

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