<h3>
Answer: B) 60</h3>
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Explanation:
Whenever the angle theta is between 0 and 90, the reference angle is exactly that value.
It's only when you get to other quadrants is when things get a bit tricky. Right now we're in quadrant 1, often written as Q1.
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Extra info:
- If theta is between 90 and 180, then the reference angle is 180-theta. This region is Q2
- If theta is in quadrant 3, between 180 and 270, then the reference angle is theta-180. The order of subtraction is important since x-y is the not the same as y-x.
- Lastly, if theta is between 270 and 360 (in Q4), then the reference angle is 360-theta.
- As you can see, we have four quadrants starting with Q1 in the upper right corner. Then we move counterclockwise to get Q2,Q3 and Q4.
Answer:
Step-by-step explanation:
I hope this helps
Answer:
∠DEF =56°
Step-by-step explanation:
We are given that arc DEF = 248°
So, arc DCF = 360°-248°
arc DCF = 112°
Now we are required to find the ∠DEF.
So, we will use Inscribed angle theorem.
Inscribed angle theorem: The measure of an inscribed angle is equal to one-half the measure of its intercepted arc.
Intercepted arc = arc DCF = 112°
Inscribed angle = ∠DEF
⇒∠DEF = 
⇒∠DEF = 
⇒∠DEF =56°
Hence the measure of ∠DEF =56°
Answer: the answer is 1/2
Step-by-step explanation:
Answer: The measure of <b is 26 degrees.
Step-by-step explanation:
Complementary angles are angles that add up to 90 degrees. I remember this because my teacher told me this: "Complements are always RIGHT!" Of course, this is a reference to complementary angles combining to make right angles, which are 90 degrees.
To go back on your question, if <a and <b are truly complementary, then m<a +m<b = 90 degrees. Substitute the measure of <a for 64 degrees, then you get 64 degrees + m<b = 90 degrees. Simplify. Then you'd get that the measure of <b is 26 degrees.
(P.S. Sorry if I cluttered up the ask portion of your post. I haven't used this platform in like 2 years, so everything seems so foreign to me.)
