One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the third angle is 25 degrees more than that of the smallest angle. Find the measure of the LARGEST angle.

The measure of the largest angle of the triangle is 93°, while the measure of the smallest and the third angle is 31° and 56° respectively. Considering that the measure of the third angle is 25 degrees more than that of the smallest angle.

Sum of interior angles of a triangle

In any given triangle, the sum of its interiorangles is equal to 180°.

Let the smallest angle be represented by x, so that the other angles are 3x and x + 25.

thus

x + 3x + x + 25 = 180° {collect like terms}

5x + 25° = 180°

5x + 25° – 25° = 180° – 25° {subtract 25° from both sides of the equation}

5x = 155°

x = 155°/5 {divide through by the coefficient of x}

x = 31°

thus the other angles are derived by substituting the value 31° for x as follows;

3(31) = 93°

31° + 25° = 56°

Therefore, the largest angle of the triangle 93°, the smallest angle is 31° and the measure of the third angle is 56°.

angleof thetriangleis 93°, while the measure of the smallest and the third angle is 31° and 56° respectively. Considering that the measure of the third angle is 25 degrees more than that of the smallest angle.## Sum of interior angles of a triangle

triangle, thesumof itsinterioranglesis equal to 180°.anglesare 3x and x + 25.anglesare derived by substituting the value 31° for x as follows;angleof thetriangle93°, the smallest angle is 31° and the measure of the third angle is 56°.trianglehere: https://brainly.com/question/7620723