SOLUTION: Find x and y if the measures of the three interior angles of a triangle are m∠6 = (6x-4) m∠3 = (7x-10) m∠4 = (4x-8)

Algebra.Com
Question 898278: Find x and y if the measures of the three interior angles of a triangle are
m∠6 = (6x-4)
m∠3 = (7x-10)
m∠4 = (4x-8)
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
Since the sum of the measures of the three interior angles of any
triangle is 180°, we add them and set the sum = 180°

(6x-4)+(7x-10)+(4x-8) = 180

6x-4+7x-10+4x-8 = 180

         17x-22 = 180

            17x = 202

              x = °

Edwin
RELATED QUESTIONS

∠x and ∠y are complementary. If m∠x = a + 3 and m∠y = 2a + 6,... (answered by nerdybill)
∠A and ∠B are vertical angles. If m∠A=(x+25)∘ and... (answered by stanbon)
∠a and ∠b are supplementary. If m∠a = 2x + 4 and m∠b = 4x - 10,... (answered by Alan3354)
∠a and ∠b are supplementary. If m∠a = 2x + 4 and m∠b = 4x - 10,... (answered by Tatiana_Stebko)
∠a and ∠b are supplementary. If m∠a = 2x + 4 and m∠b = 4x - 10,... (answered by jim_thompson5910)
∠a and ∠b are supplementary. If m∠a = 2x + 4 and m∠b = 4x - 10,... (answered by math33)
∠A and ∠B are vertical angles. m∠A = 125° and m∠B = (x - 10)°.... (answered by fractalier)
∠ABD and ∠BDE are supplementary. Find the measures of both angles... (answered by cleomenius)
∠A and ∠B are vertical angles. If m∠A=(2x+15)∘ and... (answered by Boreal,ikleyn,Alan3354)