benjamingom030
15.07.2019 •
Mathematics
In a right triangle, the acute angles measure ×+15 and 2× degrees. what is the measure of the larger acute angle of the triangle
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Ответ:
Sum of angles in a triangle is 180°
90 + (x + 15) + (2x) = 180
90 + x + 15 + 2x = 180
105 + 3x = 180
3x = 180 - 105
3x = 75
x = 75 ÷ 3
x = 25
Smaller angle = x + 15 = 25 + 15 = 40°
Larger angle = 2x = 2(25) = 50°
50°
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