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WneFind the measure of the relerence angle for & 245" angle pictured at lciCddeunnoenao...

Question

WneFind the measure of the relerence angle for & 245" angle pictured at lciCddeunnoenao

Wne Find the measure of the relerence angle for & 245" angle pictured at lci Cddeunn oenao



Answers

Find the missing interior angle measure.
Quadrilateral $JKLM$ has angle measures $\mathrm{m} \angle \mathrm{J}=32^{\circ}, \mathrm{m} \angle \mathrm{K}=25^{\circ},$ and $\mathrm{m} \angle \mathrm{L}=44^{\circ} .$ Find $\mathrm{m} \angle \mathrm{M}.$

For number 14 were testifying the measure of angle L V a. So l the A. We were given this arc length in that arc length, and that makes up this entire angle so this angle O v a must be 100 degrees.

From number 14 were asked to find angle L V a. So that's L V a. So this Greenland. Well, we know the arc length of L, C and C A, and this would bake in the described angle. So if that's 100 this will be half of that 50 so L v a is 50 degrees.

The given figure is this. In the given figure, A, B and C E A B and C are too paralyzed and shit. There are some tangles between then. Theun. So in this figure, we have to find the value book and guilt for that. Is this okay? So first we have we notice if to paddle allies is good wired reversal. Then there, Constitutive interior angles are supplementary. Okay, so in this question, toe Bella's eyes, that is a and A B and C and it is got by a reversal. This so that constitutive into, uh, into interior angle off. These are angle e be See and anger be See e. These are two consecutive Angus. Okay, ABC and wait c e six. And according to the Constitutive indie riel interior angles theory. Um, the project off these constitutive angles should be supplementary and the meaning of supplementary is this that does some addition off these two angles should be 1 80. Okay, so, as if we see clearly in this figure, the angle ABC is the some off angle two and three and angle B C e is angle four. So we mentioned this in that equation then we get angle. Two plus angle. Three. Bless angle food is a question vanity. Okay. And we have given the value off angle to and three which which is respectively 47 and drink B six an angle. Close angle. Fool. Is it close to 1. 80 now we had 47 and 26 then subtract is from Benetti. Okay. By adding 47 plus 27 we will get mine 73 and when shifted to the right hand side in the angle, Ford will be when a T minus 73. That means that ISS and Prince 07 So the value of angle four will be 107

In the question. We have given a figure to less brought the figure fast. Okay? No, this in the figure they had two lines a B and which other leto each other and cut by a line. I out reversal. So we know if 23 we know if two lines are peller to each other, that means as a propeller to E. C. And it is goodbye at a person. Then it's alternate interior angles are conjugated. It's alternate interior angles are contribute. So alternating the interior angles are these like two and five because it's making the that and these are interior angle. So according tothe, your, um, the alternate in T rial angles are conjugated so angles to and fiber contribute to each other means the value off angle to is equals to value of angle fry. So the value of angle five years 47 because angles angle to value is 47. Now we have the value of 55 And as we on as we all know, that in a triangle this is in a triangle. The some off do some off angles is 1 80 in a triangles, some off angles is some off angles in the triangle is always funny. Anti. Okay, in triangle is well, Eddie. So here we can see the we can see that their A B E is a triangle. So the sum of angles in triangle a be and e good feet 1 80. No, the Angus thing is triangle ABC here ankle one less and get to close angle seats should be close to one 80. Now, we know the value off one and you'll run into We put this value so we will get angle six. Is it Chris too? 1 80 minus angle one that is 58 minus angle to that IHS 47. No one solving this. We will get engine seizes a calls to 75. Okay, now we have the value of angle six and angle six and ankle five and Asus frequency in the figured. Sure you can see in the figure 3 80 is a line. And these angles are making here angle six and fight. So we all know that too. The summer off angles in a line which are connected, which angers air corrected should be 1. 80 means that means simply means that the sum off. Angle up. 65 and seven Should be 1 80. Angus six angle Phi. And And get C seven, the some off angle. 65 and seven should be than 80. Okay, now we we put we will put the value of angle six. Status, 75 angle file. That is 47 guilt seven. Which we have to find. Okay, so angle seven will be one a D minus one 20 to so angry seven will be 58. This is the final answer, okay?


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