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In Fig. $6.35, \Delta \mathrm{ODC}-\Delta \mathrm{OBA}, \angle \mathrm{BOC}=125^{\circ}$and $\angle \mathrm{CDO}=70^{\circ} .$ Find $\angle \mathrm{DOC}, \angle \mathrm{DCO}$ and$\angle \mathrm{OAB}$.
Geometry
Chapter 6
Triangles
Section 3
Similarity of Triangles
Similarity
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we are going to do problem number two. And this question it is given that strangle or D. C. This is similar to strangle or be a Okay, no, this triangle that is triangle or D. C. This is similar to triangle or be a. Okay, so we have to look in these cases first of all, if you C B O B. Easy straight line and this has given a 1 25 degree, then this will be the single will be and we can write it like this that 1 25 degrees plus X. This will be equals 200 degree. Uh This is a straight line. Okay, straight line. Now let's make one and two degrees. So we will be having axe equals two. We have just resumed this quantity as X. Acts in this case that will be equals to one degree. Menace 1 25 degree. This axe is equals to 55 degrees. This X is nothing. But angle D. O. C. Angle D. O. C. Is 55 degrees. This is our answer of first apartments. First angle that we need to find and D. O. C. Now we will be just doing the another finding another angle that is angled Decio manifest. See triangle and tangle old D. C. Okay then angle D. O. C. Plus angle D. C. E. O. Plus angle C. D. Or this should give us one or two degree by angles and property of the triangle. So angle D. O. C. In this case that we've got a 55 degrees angled easy. Or we need to find and angle C. D. So we have a 70 degree. So this is equals to 1 80 degree. So from here we will have anger D. C. O. This is equals to 1 80 degree. Man is 70 degree minus 55 degrees. So from here we will be having angle D. C. O. This is equals to 55 degrees. This is the answer. The second part. Now let's just go through the third part. That is angle angle or A B. Okay now as triangle letters just go to the figure. Now I strangle D. I strangle all D. C. Is similar to tangle O. B. A. So this angle that angle uh D. C. Oh this should be equal to triangle O. A. B. Okay this one so let me write as triangles are similar so strangle uh triangle O. D. C. Is similar to triangle. Oh be A. Okay so her we can buy it that angle angle D. C. Oh this should be equals two angle O. A. B. So angle D. C. O. Is 55 degrees angle O. A. B. That will be equals to 55 days from here we found all the answers. That's all. Thank you.
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