Question

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

Answer 1

9514 1404 393

Answer:

9°, 9°, 162°

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°.