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Find the measures of the angles of a triangle if the measure of one angle is three times the measure of a second angle and the third angle measures times the second...

Question

Find the measures of the angles of a triangle if the measure of one angle is three times the measure of a second angle and the third angle measures times the second angle decreased by 80.The measures of the three angles are

Find the measures of the angles of a triangle if the measure of one angle is three times the measure of a second angle and the third angle measures times the second angle decreased by 80. The measures of the three angles are



Answers

The second angle of a triangle measures three times that of the first angle's measure. The third angle measures $80^{\circ}$ more than the first. Find the measure of each angle.

Our given caution is one angle of a triangle measures twice the second angle, So let this be any triangle. Let this be a triangle, ABC Now it is given there one angle ever tangle measures twice. The second angle so late and will be is twice twice angle. See similarly, the part angle midges three times. The second angle that is angle is three times angle B. Now we have to find the measure of the angles that is angle E and will be, and then we'll see. As we know that angle a less and will be plus angle see will be called 1 90 degree because these are angles of a triangle. I will be MEES by single see and angle is Christ and will be so put will put everyone in terms of Bengal sea so late angle is three times and will be so three and will be plus and will be. Plus angle C is equal to 1 90 degree, so it becomes four times and will be. Plus angle. C is equal to 1 90 degree, which gives, but I will be. We can replace it with two time single see so according toa air times angle C plus and they'll see physical toe. Wonder treated me so it gives nine times angle cuz equal to one artistically, which gives angle. See musical to 20 degrees. Now if NDC is 20 degrees so and will be used twice. Angle see, so it becomes two times 20 degrees. That is 40 degree and angle is just for three times angle B. So it becomes three multiplied very 40 that is 1 20 degrees. So angle A it's 1 20 degree and will be this 40 diddly and angle sees 20 TV, that is, this is 20 degree, this is 40 degree and this is 1 20

So we're given that the initial angle is equal to X and then, when added with the two other angles, that would be equal to 180. The two other angles are equal to double that of the first single or two x and tripled. The second angle will triple. The second angle is two x times three or six x minus 12. Combining like terms will give nine. X minus 12 is equal to 1 80 which will give the nine X is equal to 192 when we divide out nine. From both science, we get that X is equal to 21.3. So if accident 21.3 double that would be equal to 42.6. X warning was 21.3. Next to equals 42.6 and then we're given that the third angle is triple. That Triple 42.6 is 1 28th But then subtracting by 12 is equal to 116 and we noticed that when we add these three angles together that we do get 180 which is the number we want for the total degrees of the triangle. So these will be the three degree measures of our triangle

So in this question for years Young three Angles, ABC to be part of a triangle. And we know from the question that a plus B plus C it's 180 decrease. And from the question we know that there are two given conditions on the first one is that the first angle IHS rise The second angle, which means that is three times be. And from the second condition, we have the third angle Toby less than a second angle by 35. So using this conditions, you can substitute the values off e and C in the above recreation which would give us three B plus B plus B minus 35 equal toe 180. Now this gives us five be equal toe 180 plus 35 just gives a fi be equal toe 215 degrees. No dividing both sides with respect 05 we could be as 43 degrees. So now that we have the second angle B s 43 degrees, we can use the 1st and 2nd conditions to find a So we have A s three times beef. So three times 43 this 129 decrease. So is 129 degrees on. See, see if 35 less than the second angle. So 35 my 40 minus 35 would be a decrease. So we have ears. 1 11 29 degrees C they degrees and be yes.

In this course, and we have given lingers angle one that hurt England. You have to find them. Deserves Thank is Oh, I think this gangland you and well is that Oh, herding, baby one. Okay, eggs. Plus it's is Thanks as you want. Some of them is Inglis angle, is it? According X? Less eggs on it. Now on combining light else and then be writing sites six X is working in full visitors being Inglis. Oh, are thinking are you begin?


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