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

9514 1404 393

  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°.

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°

coin flip

non-answer:

choosing

sorry if this isnt what you're looking for i dont really understand the question