If the angles of a triangle are in the ratio 2:3:7, find the measure of all the angles of the triangle.

The sum of all angles of a triangle is 180 grades (or Pi radians).
The angles are in ratio 2:3:7, this means that by naming an angle X we will have:
2 X+ 3 X + 7*X= 180
so, 12*X =180 => X=15
The first angle is 2* X= 30 grades The second angle is 3 X= 45 grades The last angle is 7 X=105 grades

Answered by Anonymous | 2024-06-10

The angles of the triangle with a ratio of 2:3:7 are 30 degrees, 45 degrees, and 105 degrees. The total of these angles equals 180 degrees, satisfying the angle sum property of triangles. Each angle corresponds to a multiple of 15, which is derived from the given ratio.
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Answered by Anonymous | 2024-12-26