The second angle of a triangle is 15° less than the first angle. If the third angle is 20° more than the second angle, find all three angles of the triangle.
Given: The second angle of a triangle is 15° less than the first angle.
The third angle is 20° more than the second angle
To Do: find all three angles of the triangle
Solution:
Let the first angle be $y$.
second angle =$ y - 15$
third angle = $20 + y - 15 = y + 5$
Sum of angles of the triangle by angle sum property
$y + y - 15 + y + 5 = 180°$
$3y - 10 = 180°$
$3y = 180° + 10° = 190°$
$y = \frac{190}{3} = 63.33°$
So the angles of the triangle are
63.33, 48.33°, 68.33°
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