Title: The three angles in a triangle always add up to 180°. If one angle in a triangle is 72°... Post by: Ryder1984 on Dec 23, 2012 Can someone please help me..... In my math class they want us to write this so everyone would understand how to do it. The three angles in a triangle always add up to 180°. If one angle in a triangle is 72° and the second is 2 times the third, what are the three angles? (Answer is 72°, 72°, 36°) HERE IS A EXAMPLE OF HOW THEY WANT US TO DO IT..... #5 Julio’s Trip Julio has found that his new car gets 36 miles per gallon on the highway and 31 miles per gallon in the city. He recently drove 397 miles on 12 gallons of gasoline. How many miles did he drive on the highway? How many miles did he drive in the city? 1. X = number of gallon used on high way Y = number of gallon used in the city x gallon used T = miles driven 2. The equation is: (gallon used on high) + (gallon used on the city x gallons used) = miles driven X + Y = T 3. X = 36x Y = 31(12 – X) T = 397 4. 36x + 31(12 – x) = 397 36x + 372 – 31x = 397 Let’s clean up the problem and solve for X; 36x - 31x = 397 – 372 5x = 25 X = 5 X = 5 gallon used on high way To get total miles driven on a highway is; (gallon used on high way) x ( high way miles per gallon) 5 x 36 = 180 total miles driven on a highway To get total miles driven in the city is; (total gallon) – (gallon used on highway) = gallon used in the city 12 – 5 = 7 To convert to total miles drive in the city; (gallon used in the city) x (city miles per gallon) = total miles driven in the city 7 x 31 = 217 total miles driven in the city Title: The three angles in a triangle always add up to 180°. If one angle in a triangle is 72°... Post by: bio_man on Dec 24, 2012 Can someone please help me..... In my math class they want us to write this so everyone would understand how to do it. The three angles in a triangle always add up to 180°. If one angle in a triangle is 72° and the second is 2 times the third, what are the three angles? (Answer is 72°, 72°, 36°) Sure, I can help: Let the third be "x". Then the 2nd is "2x". Equation: x + 2x + 72 = 180 3x = 108 x = 36 degrees 2x = 72 degree Cool? Title: The three angles in a triangle always add up to 180°. If one angle in a triangle is 72°... Post by: jgreenwood on Dec 24, 2012 Hi :)
the second is 2 times the third Let x and 2x represent the third and second angles respectively question states*** 72° + 2x + x = 180° solving for x 3x = 108° x = 36°, the second angle. The third is 72° (2*36°) CHECKING our Anwer 72° + 36° + 72° = 180° |