Find the complement & supplement of a 45°45°45° angle.Complement: ____Supplement: ____

C o m p l e m e n t = 45 ° ; S u p p l e m e n t = 135 ° Complement=45\degree;Supplement=135\degree C o m pl e m e n t = 45° ; S u ppl e m e n t = 135°

Find the complement & supplement of a 45 ° 45° 45° angle . Complement: ____ Supplement: ____

So let's just do a very quick practice problem over here. We're gonna find the complement and supplements of a 45 degree angle. Remember, a complement and supplement, those are just two fancy words that mean that there's 2 angles that add up to special numbers. Complements will always have to add up to 90. Supplements will add up to 180. So how do you figure out the complement of this 45 degree angle? Well, for the complement, all you have to do is you just have to subtract 90 minus that angle. 90 minus 45 is gonna give you whatever the missing angle is, and that's also gonna be 45 degrees. So that's kinda weird. The complement of a 45 degree angle is a 45 degree angle. It's basically itself. That's basically itself. That's actually perfectly fine. You can have a complement of an angle that it's that it's the same exact thing, and, actually, that is going to be 45 degrees. So 2 45 degree angles over here is basically just gonna look something like this. Right? You're gonna have an angle that looks like this, and it's gonna basically split them exactly in half. This is 45 and that's 45. They're both complementary angles. Alright? Let's take a look at the next one here, or figure out what the supplement of this angle is. Same idea, except for the supplement we just wanted to, we just want to subtract from a 180. This This is gonna be a 180 minus 45. And this is not gonna be 45. This is actually going to be a 135 degrees. Alright? So what does this look like? Well, it would basically look something like this. Right? So this would be a straight line like that. If I had a 45 degree angle, that would be something that looks like this. That's 45 degrees. Actually, let me go ahead and write this in black like that. So this angle would be 45 degrees. So that means that this angle that gets you to a straight line is gonna have to be something that is bigger than 90. That totally makes sense. And that's gonna be a 135. Alright? So that's 135. Hopefully, you got that right. So let me know if you have any questions, and I'll see you in the next one.

Find the complement & supplement of a 45 ° 45° 45° angle . Complement: ____ Supplement: ____

C o m p l e m e n t = 45 ° ; S u p p l e m e n t = 135 ° Complement=45\degree;Supplement=135\degree C o m pl e m e n t = 45° ; S u ppl e m e n t = 135°

C o m p l e m e n t = 135 ° ; S u p p l e m e n t = 45 ° Complement=135\degree;Supplement=45\degree C o m pl e m e n t = 135° ; S u ppl e m e n t = 45°

C o m p l e m e n t = 315 ° ; S u p p l e m e n t = 135 ° Complement=315\degree;Supplement=135\degree C o m pl e m e n t = 315° ; S u ppl e m e n t = 135°

C o m p l e m e n t = 45 ° ; S u p p l e m e n t = 315 ° Complement=45\degree;Supplement=315\degree C o m pl e m e n t = 45° ; S u ppl e m e n t = 315°

1. Measuring Angles

Complementary and Supplementary Angles

Trigonometry

1. Measuring Angles

Complementary and Supplementary Angles

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Multiple Choice

Find the complement & supplement of a $45°$ angle.
Complement:
Supplement:

$Complement=135$\degree$;Supplement=45$\degree$$

$Complement=45$\degree$;Supplement=135$\degree$$

$Complement=315$\degree$;Supplement=135$\degree$$

$Complement=45$\degree$;Supplement=315$\degree$$

Verified step by step guidance

Understand the definitions: The complement of an angle is what, when added to the angle, equals 90°. The supplement of an angle is what, when added to the angle, equals 180°.

Identify the given angle: The problem states that the angle is 45°.

Calculate the complement: Subtract the given angle from 90° to find the complement. Use the formula: Complement = 90° - 45°.

Calculate the supplement: Subtract the given angle from 180° to find the supplement. Use the formula: Supplement = 180° - 45°.

Verify your calculations: Ensure that the sum of the angle and its complement equals 90°, and the sum of the angle and its supplement equals 180°.

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