In a triangle,the largest angle is 5° more than 4 times its smallest angle. The third angle is twice the smallest angle.
a.what is the sum of the angles of the triangle?
b.find all the angles?
please answer
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Step-by-step explanation:
Let the smaller angle be = x
Given Largest angle is 5 more than four times smalles angle
Four times smaller angle = 4 * x = 4x
Largest angle = 5 + 4x (given)
3rd angle = 2 * x ( smaller angle) = 2x
1st angle = x
2nd angle = 5 + 4x
3rd angle = 2x
Sum of angles in a triangle = 180 degrees
x + 5 + 4x + 2x = 180 deg
7x + 5 = 180
7x = 180 -5
7x = 175
x = 175/7 = 25 degrees
1st angle = x = 25degrees
2nd angle = 5 + 4( 25) = 105 degrees
3rd angle = 2 * 25 = 50 degrees
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