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Olin [163]
3 years ago
5

What is the value of n?

Mathematics
2 answers:
suter [353]3 years ago
5 0
133  = 38 + m angle adjacent to n  (exterior angle of triangle theorem)
so m this angle =  133 - 38 = 95 degrees
Thus m  n = 180 - 95  = 68 degress

Its option A.

erica [24]3 years ago
4 0
<span>An exterior angle of a triangle is equal to the sum of the opposite interior angles
</span>
so
n = (180 - 133) + (180 - 142)
n = 47 + 38
n = 85

answer is A. 85
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One angle of a triangle measures <img src="https://tex.z-dn.net/?f=10degrees" id="TexFormula1" title="10degrees" alt="10degrees"
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One\ angle: 35^o\\Second\ angle: 25^o\\Third\ angle: 120^o

Step-by-step explanation:

Let

x ----> the measure of one angle of the triangle

y ---> the measure of the second angle

z ----> the measure of the third angle

we know that

The sum of the measure of the interior angles in any triangle must be equal to 180 degrees

x+y+z=180^o -----> equation A

One angle of a triangle measures  10 degrees more than the second

x=y+10 ----> equation B

The measure of the third angle is twice the sum of the first two angles

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substitute equation B in equation C

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substitute equation D and equation B in equation A

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Find the value of x

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Find the value of z

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therefore

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