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Question

The measures of the angles of a triangle are 2x,x+25 and 3x+5. Find x and then show that the triangle is isosceles.

A
25
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B
15
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C
28
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D
12
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Solution

The correct option is A 25
Measures of the angle =2x,x+25,3x+5
Sum of the angles =180
2x+x+25+3x+5=1806x+30=1806x=150x=25

So, the angles of the triangle are
1) 2x=50
2) x+25=50
3) 3x+5=80
Since two angles are equal, the triangle is isosceles.

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