Question

I need help finding the value of x and the measure of each angle

Answer 1

x = 7

m∠B = 65

m∠A = 45

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

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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

Answer 2

x=7, angle a= 45 degrees, angle b= 65 degrees

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