i need help finding the value of x and the measure of each angle
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Answer:
x=7, angle a= 45 degrees, angle b= 65 degrees
Step-by-step explanation:
All the angles in a triangle must add up to 180. Subtract 70 from 180, add both angle a and angle b to get 16x-2=110, solve for x, x=7. Substitute x out for 7 in the equations then simplify to get angle a=45 and angle b=65
Answer:
x = 7
m∠B = 65
m∠A = 45
Step-by-step explanation:
So we know that the inside of a triangle equals 180º. So we have one angle already, 70º, so what we can do is subtract 70 from 180.
180 - 70 = 110
Now we can set both equations equal to 110.
2 + 9x + 7x - 4 = 110
Now simplify.
2 + 9x + 7x - 4 = 110
2 + 16x - 4 = 110
16x - 2 = 110
+2 +2
------------------
16x = 112
÷16 ÷16
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x = 7
So now you can just plug 7 in for x to check your answers
2 + 9(7) = 65
7(7) - 4 = 45
65 + 45 + 70 = 180