Problema Solution
The second angle of a triangle is 4 times as large as the first. The third angle is 130° more than the sum of the other two angles. Find the measure of the second angle.
Answer provided by our tutors
Let x be the first angle, then 4x will be the second angle and x+4x+130 be the third angle.
The sum of the angles in a triangle is equal to 180 degrees:
x + 4x + x + 4x + 130 = 180
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click here to see the equation solved for x
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x = 5
The first angle is 5 degrees.
The second angle is 4*5 = 20 degrees.
The third angle is 5+4*5+130 = 1155 degrees.