Respuesta :

meaganblatcher

Answer:

x = 11

Step-by-step explanation:

Because of Vertical Angle Theorem, the inner angle that shares a side with 92 is 88.

So you use 88+4x+8+3x+7=180 because all triangles equal 180.

Combine like terms and get 103+7x=180

Subtract 103 on both sides and get 7x=77

Divide by 7 and  x =11

So answer is x = 11

laurellee27

Answer:

x = 11

88°

40°

52°

Step-by-step explanation:

Angles on a straight line add up to 180

92 + ? = 180

∴ 180 - 92 = 88

Angles inside a triangle add up to 180

88 + (3x + 7) + (4x + 8) = 180

∴ 88 + (3x + 4x) + (8 + 7) = 180

∴ 103 + 7x = 180

∴ 7x = 180 - 103

∴ 7x = 77

∴ x = 11

3x + 7 =

3(11) + 7 =

33 + 7 = 40

4x + 8 =

4(11) + 8 =

44 + 8 = 52

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