001130004 001130004
  • 22-10-2020
  • Mathematics
contestada

Suppose m∠3 = 128 and m∠6 = (10x + 8). What value of x would result in a || b?

A. 8.2
B. 4.4
C. 17.2
D. 12.0

Respuesta :

Muscardinus Muscardinus
  • 31-10-2020

Answer:

x = 12

Step-by-step explanation:

The attached figure shows the measures of the angles. Here, line a is parallel to line b.

Given that,

m∠3 = 128 and m∠6 = (10x + 8)

We need to find the value of x.

Here,

[tex]\angle 3 =\angle 6[/tex] (alternate interior angles)

So,

[tex]10x+8=128\\\\10x=128-8\\\\10x=120\\\\x=12[/tex]

So, the value of x is 12. Hence, the correct option is (D).

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