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Murrr4er [49]
3 years ago
14

Two angle measures of a triangle are given what is the third angle measure 57 68 _ 90 40 __ 29 71 _

Mathematics
1 answer:
nexus9112 [7]3 years ago
3 0
Sum\ of\ angles\ in\ triangle\ is\ 180^{\circ}\\\\
57^{\circ},68^{\circ},x\\
57+68+x=180\\
125+x=180\\
x=55^{\circ}\\\\
90^{\circ},40^{\circ},x\\
90+40+x=180\\
130+x=180\\
x=50^{\circ}\\\\29^{\circ},71^{\circ},x\\
29+71+x=180\\
100+x=180\\x=80^{\circ}
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What 3 consecutive integers equal 84
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First represent your 3 consecutive integers as follows.

X ⇒ <em>first integer</em>

X + 1 ⇒ <em>second integer</em>

X + 2 ⇒ <em>third integer</em>

<em />

Since their sum is 84, our equation reads x + (x + 1) + (x + 2) = 84.

Simplifying on the left side we get 3x + 3 = 84.

Now subtract 3 from both sides to get 3x = 81.

Dividing both sides by 3, we find that <em>x = 27</em>.

Finally, make sure you list all your answers.

If <em>x </em>is 27 then <em>x </em>+ 1 is 28 and <em>x </em>+ 2 is 29.

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The 3-digit number is 132

<h3>How to determine the 3-digit number?</h3>

The given parameters are:

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The first highlight above implies that the number can be any of 100 to 999

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Step-by-step explanation:

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