Respuesta :

A + B + C = 180°

4x-7 + 3x-5 + x = 180

4x + 3x + x -7 -5 = 180

8x - 12 = 180

8x = 180 + 12

8x = 192

x = 24


then
A= 4x-7 = 4(24) - 7 = 89

B = 3x-5 = 3(24)-5 = 67

C = X = 24

to be sure

A+B + C = 180

89 + 67 + 24 = 180

180 = 180

Answer:

m∠A=89

m∠B=67

m∠B=24

Step-by-step explanation:

Hello There!

First we want to find the value of x and remember all of the angles in a triangle add up to equal 180 so we can use this equation to solve for x

180 = 3x - 5 + 4x - 7 + x

step 1 combine like terms

3x + 4x + x = 8x

-5 - 7 = -12

now we have 180 = 8x - 12

step 2 add 12 to each side

180 + 12 = 192

-12 + 12 cancels out

now we have 192 = 8x

step 3 divide each side by

8x/8 =x

192/8=24

we're left with x = 24

Now we plug in x to each angle so we can find the measure

∠A = 4(24)-7

4*24=96

96-7=89

∠A = 89

∠B = 3(24)-4

3*24=72

72-4=69

∠B=69

∠C=x

∠C=24

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