Answer:
1) x=67, y=83, z=80 2) x=5
Step-by-step explanation:
1) 28+85=113 a triangle is 180 degrees so 180-113=67 so x=67
x and y are supplementary meaning both sides equal 150 so 150-67=83
83+17=100 now going back how much did i say a triangle should equal? 180 so z is 80
2)a triangle = 180 since the triangle is a right angle it includes the angle 90 so make the equation to solve for x
180=90+8x+2+9x+3
take 90 to other side so you are subtracting 180-90
90=8x+2+9x+3
combine like terms
90=17x+5
subtrcat 5 from 90
85=17x
now divide 85 by 17 and you get x=5
The product of 2 and 3 is 6. When you take away, or subtract, 5 from 6, you get 1.
First, we know that all supplementary angles add to 180°. Then, since the angles are in the ratio 4:5, we can also represent these angles as 4x and 5x respectively. Both angle measures have the same variable (x) because no matter how large the angles are, they must have a common multiple because they are in a ratio. We can then write the formula 4x+5x=180 and solve for x. First, you combine like terms to get 9x=180. The you divide both sides by 9 to get x=20. Then, we can find both angles to be 80 (4*20) and 100 (5*20) by plugging them into 4x and 5x. Since 100 is larger, that is your answer.
I hope this helps.
Answer: the anwer is =46.76
Step-by-step explanation:
