SOLUTION: A student inscribes an angle inside a semicircle to form a triangle. The measures of the angles that are not the vertex of the inscribed angle are x and 2x-9. Find the measures of
Algebra ->
Circles
-> SOLUTION: A student inscribes an angle inside a semicircle to form a triangle. The measures of the angles that are not the vertex of the inscribed angle are x and 2x-9. Find the measures of
Log On
Question 754769: A student inscribes an angle inside a semicircle to form a triangle. The measures of the angles that are not the vertex of the inscribed angle are x and 2x-9. Find the measures of all three angles of the triangle. Explain how you got your answer. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A student inscribes an angle inside a semicircle to form a triangle. The measures of the angles that are not the vertex of the inscribed angle are x and 2x-9. Find the measures of all three angles of the triangle. Explain how you got your answer.
---------
The vertex angle intersects an arc of 180 degrees.
So it is a right angle.
---
The sum of the other 2 angles is 90 degrees.
Equation:
x + 2x-9 = 90
3x = 99
x = 33 degrees
2x-9 = 57 degrees
========================
Cheers,
Stan H.
======================
(