I’m confused on this one

Mathematics

1 answer:

kvv77 [185]3 years ago

8 0

The answer is 42.

The question is asking for angle N. We know from the question that angle N is equal to angle E (Don't think about the scale factor because it only applies to the sides. They're just trying to trick you).

To find angle E:
$79 + 6x + 11 + 7x - 14 = 180$
Move numbers to the right side:
$6x + 7x = 180 - 79 - 11 + 14$
Combine like terms:
$13x = 104$
Divide both sides by 13:
$x = 8$
The formula for angle E:
$7x - 14$
Plug in the 8:
$7 \times 8 - 14 = 56 - 14 = 42$
The angle measure of E is 42. So angle N is automatically 42 too.

To solidify, we can try to use the formula which they give us for angle N:
$3x + 18 = 24 + 18 = 42$

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