The sum of the measures of the angles of any triangle is 180 degrees . in a certain triangle, the largest angle measures 55 degrees less than twice the median angle, and the smallest angle measures 25 degrees less than the median angle find the measures of all three angles matrix

75, 65 and 40 degrees.

Step-by-step explanation:

Let the largest angle be x degrees, the median y and the smallest z.

x = 2y - 55

z = y - 25

x + y + z = 180

Substituting for x in the last equation:

2y - 55 + y + z = 180

3y + z = 235  

From the second equation:

- y + z = -25     Subtract this from the last equation:

4y = 260

y = 65 degrees

so z = 65 - 25 = 40 degrees.

- and x = 180 - 65 - 40 = 75 degrees,.

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

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