SOLUTION: Alejandra knows the angles in a triangle add up to 180 degrees. The measure of the first angle of a triangle is half the measure of the second angle. The measure of the third angle
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Question 1015560: Alejandra knows the angles in a triangle add up to 180 degrees. The measure of the first angle of a triangle is half the measure of the second angle. The measure of the third angle is 40 degrees less than 4 times the measure of the second angle. What are the measures of each angle. Answer by ikleyn(52802) (Show Source):
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Alejandra knows the angles in a triangle add up to 180 degrees. The measure of the first angle of a triangle is half the measure of the second angle. The measure of the third angle is 40 degrees less than 4 times the measure of the second angle. What are the measures of each angle.
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Let x be the measure of the second angle in degrees.
Then the first angle is , and the measure of the third angle is (4x - 40).
Your equation is
+ x + (4x-40) = 180.
Multiply both sides by 2 to get off the denominator. Then simplify. You will get
x + 2x + 8x - 80 = 360,
11x = 360 + 80 = 440,
x = = 44.
The second angle is 44 degree.
Please calculate yourself other angles.
