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ICE Princess25 [194]
3 years ago
5

N a triangle, the measure of the first angle is 24 degrees more than the measure of the second angle. The measure of the third a

ngle is four times the measure of the second angle. If the total number of degrees in a triangle is 180, what is the measure of the largest angle?
Mathematics
1 answer:
almond37 [142]3 years ago
5 0

x + 24 = first angle


x = second angle


4x = third angle


x + 24 + x + 4x = 180°


6x + 24 = 180°


6x = 180° - 24


6x = 156°


x = 156° ÷ 6


x = 26°....the second angle.


x + 24 = 26 + 24 = 50°.... the first angle.


4(26) = 104°


The largest angle is the third angle, which measures 104°.



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