Question

В треугольнике МРК угол Р состовляет 60градусов угол М на 4 градуса больше угла К найти все углы

Answer 1

Сумма всех углов в треугольнике равна 180 градусов. Следовательно, 
угол M = 60+4=64 градуса
Угол К= 180 - (угол Р+угол M) =180 -(60 + 64) = 56 градусов

Answer 2

Finding the angles in triangle MRK

To find all the angles in triangle MRK, we need to use the given information that angle R is 60 degrees and angle M is 4 degrees greater than angle K.

Let's denote angle K as x. According to the given information, angle M is 4 degrees greater than angle K, so angle M can be expressed as (x + 4).

We know that the sum of the angles in a triangle is always 180 degrees. Therefore, we can write the equation:

x + (x + 4) + 60 = 180

Simplifying the equation, we have:

2x + 64 = 180

Subtracting 64 from both sides, we get:

2x = 116

Dividing both sides by 2, we find:

x = 58

Now that we have found the value of angle K, we can substitute it back into the equation to find the values of angles M and R.

Angle M = x + 4 = 58 + 4 = 62 degrees

Angle R = 60 degrees

Therefore, the angles in triangle MRK are:

Angle K = 58 degrees Angle M = 62 degrees Angle R = 60 degrees