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34 votes
Two angles of a triangle are the same size. The third angle is 12 degrees smaller than the first angle. Find the measure the angles

User Zuber
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2 Answers

26 votes
26 votes

Answer:12, 84 and 84

Explanation:

since we know 3 angles of a triangle = 180 degrees

1 angle = 12 degrees

12 + x + x = 180

12 + 2x = 180

2x= 180 - 12

2x = 168

x = 168/2

x = 84 degrees

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User Divestoclimb
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2.9k points
12 votes
12 votes

Answer:

64° , 64° , 52°

Explanation:

Angle sum property of triangle:

The two angles that are same be 'x'

Third angle = x - 12

Sum of all angles of triangle = 180

x + x + x -12 = 180

3x - 12 = 180

3x = 180 + 12

3x = 192

x = 192/3

x = 64

x - 12 = 64 - 12

= 52

The three angles are 64° , 64° , 52°

User Vijikumar M
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2.7k points