# In triangle MPK, the angle P is 60 ° of the angle K, and the angle M is 4 ° greater than the angle P. Find the angle P.

May 29, 2021 | education

| Let the angle K = x,

then the angle P = 0.6 * x,

and the angle M = 0.6 * x + 4.

Taking into account that the sum of the angles of the triangle is 180 °, we will compose and solve the equation.

x + (0.6 * x) + (0.6 * x + 4) = 180 °

2.2 * x = 176

x = 80.

Angle K = 80 °.

Let’s calculate the angle P:

0.6 * 80 = 48.

Answer: angle P = 48 °.

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