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 angle 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?

Question

Marcel Harrell

Mathematics

7 November, 21:16

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 angle 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?

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Answers (1)

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Gavin Combs · Answer 1

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°.