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Natasha2012 [34]
3 years ago
12

Find the measure of the exterior angle X: 125

Mathematics
1 answer:
igomit [66]3 years ago
5 0
Answer: x=80°

Explanation:
To find the exterior angle x we first need to find the last corner angle (a) of the triangle. The angles of triangles add up to 180° so we can use the formula: 25+55+a=180

Solving formula:
25+55+a=180
80+a=180
(Subtract 80 from both sides)
a=100°

Now that we know a=100 we can find the exterior angle. a+x=180 because the angles are on a straight line which equals 180°

a+x=180
100+x=180
(Subtract 100 from both sides)
x=80°

Hope this helps! Please leave a thanks if possible so I can continue to help others :)
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Step-by-step explanation:

Let's first get the slope of the curve.

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make dy/dx the subject:

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At point (-1, 2):

\frac{dy}{dx}  =  \frac{2 - 2( - 1)}{2(2) - 1}  \\  \\ slope =  \frac{4}{3}

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c is the y-intercept

At (-1, 2):

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equation:

y =  \frac{4}{3} x +  \frac{10}{3}  \\  \\ { \boxed{3y = 4x + 10}}

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