Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees.
Answer:
Step-by-step explanation:
<u>Given:</u>
<u>Simplify:</u>
<u>log both sides:</u>
Step-by-step explanation:
![In \: \triangle HDT, \: BM || DT.. (given) \\ \\ \therefore \: \frac{HM}{MT} = \frac{ HB}{ BD} \\ (by \: basic \: proportionality \: theorem) \\ \therefore \: \frac{6}{x} = \frac{9}{15} \\ \\ \therefore \: x= \frac{15 \times 6}{9} \\ \\ \therefore \: x= \frac{90}{9} \\ \\ \therefore \: x= 10 \\ \\](https://tex.z-dn.net/?f=In%20%5C%3A%20%20%5Ctriangle%20HDT%2C%20%20%5C%3A%20BM%20%7C%7C%20DT..%20%28given%29%20%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20%20%5Cfrac%7BHM%7D%7BMT%7D%20%3D%20%20%5Cfrac%7B%20HB%7D%7B%20BD%7D%20%5C%5C%20%28by%20%5C%3A%20basic%20%5C%3A%20proportionality%20%5C%3A%20theorem%29%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20%20%5Cfrac%7B6%7D%7Bx%7D%20%3D%20%20%5Cfrac%7B9%7D%7B15%7D%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20%20x%3D%20%20%5Cfrac%7B15%20%5Ctimes%206%7D%7B9%7D%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20%20x%3D%20%20%5Cfrac%7B90%7D%7B9%7D%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A%20%20x%3D%20%2010%20%5C%5C%20%20%5C%5C%20)
Since all the sides are equal this triangle is equilateral so the angles are equal as well. Since all the angles are equal and they have to be equal to 180. So 60 is the answer. Because 60 times 3 is=180
Hope this helps!
Answer:
(0,6)
Step-by-step explanation: