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Mnenie [13.5K]
2 years ago
10

The measures of the first and second angles in a triangle are equal.The third angle measures 9 times the sum of the equal angles

. Find the measurements of the three angles
Mathematics
1 answer:
Liula [17]2 years ago
3 0

9514 1404 393

Answer:

  9°, 9°, 162°

Step-by-step explanation:

Let x represent the measure of the first angle. Then the sum of all of the angles in the triangle is ...

  x + x + 9(x+x) = 180°

  20x = 180° . . . . . . . . . . collect terms

  x = 180°/20 = 9° . . . . . divide by 20

  9(x+x) = 162° . . . . . . . find the third angle

The three angle measures are 9°, 9°, and 162°.

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