<PRE><B>Question 1187447</B>
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As your teacher mentions, the three angles of any triangle add to 180.


angle1+angle2+angle3 = 180
(2x+20)+(x+25)+(2x-25) = 180
2x+20+x+25+2x-25 = 180
(2x+x+2x)+(20+25-25) = 180
5x+20 = 180
5x = 180-20
5x = 160
x = 160/5
x = 32


That x value then leads to...
angle1 = 2x+20 = 2*32+20 = 64+20 = &lt;font color=red&gt;84 degrees&lt;/font&gt;
angle2 = x+25 = 32+25 = &lt;font color=red&gt;57 degrees&lt;/font&gt;
angle3 = 2x-25 = 2*32-25 = 64-25 = &lt;font color=red&gt;39 degrees&lt;/font&gt;


Note how: 84+57+39 = 180 to help confirm the correct answers


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&lt;font color=red&gt;Answers:&lt;/font&gt;
angle1 = 2x+20 = &lt;font color=red&gt;84 degrees&lt;/font&gt;
angle2 = x+25 = &lt;font color=red&gt;57 degrees&lt;/font&gt;
angle3 = 2x-25 = &lt;font color=red&gt;39 degrees&lt;/font&gt;
x = &lt;font color=red&gt;32&lt;/font&gt;


Side note: This triangle is acute because all three angles are less than 90. The triangle is also scalene because the three angles are all different from each other.
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