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pantera1 [17]
2 years ago
14

Find the value of x?

Mathematics
1 answer:
Deffense [45]2 years ago
6 0

Answer:

145°

Step-by-step explanation:

See the attachment.  Angles A, B, and C all belong to the triangle.

We know that A + B + C = 180° since the angles of a triangle always add to 180°.  We also know that when two lines meet that their sum is also equal to 180°.  So we can write for each interior angle the following:

                                    <u>  Result</u>

<A = (180 - 88)                72

<B = (180-x)                  180-x

<C = (180 - 127)               53

The sum of angles A, B, and C is equal to 180:

 72 + (180-x) + 53 = 180

<h2><u>x = 145</u></h2>

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\begin{array}{l}{-\frac{1}{2}=\frac{r-2}{3-(-5)}} \\\\ {\text { Solving the above expression to get value of } r} \\\\ {=>-\frac{1}{2}=\frac{r-2}{3+5}} \\\\ {=>-8=\frac{r-2}{3+5}} \\\\ {=>-8=2(r-2)} \\\\ {=>-8=2 r-4} \\\\ {=>2 r=-8+4} \\\\ {=>2 r=-4} \\\\ {=>r=\frac{-4}{2}=-2}\end{array}

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