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Delvig [45]
3 years ago
8

The measure of angle B is 65.8°. find the measure of the complement and supplement of angle B.​

Mathematics
1 answer:
viktelen [127]3 years ago
3 0

Answer:

The fourth choice

24.2° and 114.2°

Step-by-step explanation:

Complementary angles add up to 90°

Supplementary angles add up to 180°

*a trick to remember this is to know that C is before S in the alphabet, and 90 is before 180, so Complementary is 90 and Supplementary is 180

Step 1:  Find the complementary angle

  Take 90° and subtract the give angle to find the angle you would need...

       90° - 65.8° = 24.2°

Step 1:  Find the supplementary angle

  Take 180° and subtract the give angle to find the angle you would need...

       180° - 65.8° =  114.2°

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Answer:

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Step-by-step explanation:

You need 2 things in order to solve this equation:  a trig identity sheet and a unit circle.

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sin(\theta)=-\frac{1}{2}

Go back to your unit circle and find the values of theta where the sin is -1/2 in the interval.  They are:

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