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
1 answer:
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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