Question

Найдите углы при основании МП равнобедренного треугольника МОП если МК его биссектриса и угол ОКМ равен 96 градусов

Answer 1

     O /\        Дано: тр.OMP, OM=OP,   уголOMK=уголKMP, уголOKM=96
       /    \      Найти углы М,P,O тр-каOMP
     /      ,\K   Решение: уголMKP =180 -96= 84
    / .   '    \           УголP=уголOMP =2*уголKMP ,
 M''''''''''''''''''P       так как тр. OMP -равнобедренный и MK-биссектриса

УголP+уголKMP=3*уголKMP = 180 -84 =96
Угол KMP=96:3 = 32
В тр.MOP : уголP =уголM=2*32 =64
                    угол O = 180 -2*64 = 52
Ответ: 52* ;  52* ; 64*

Answer 2

Finding the angles at the base of an isosceles triangle

To find the angles at the base of an isosceles triangle, we need to use the information given in the question. Let's break down the given information:

- The triangle is isosceles, which means it has two equal sides. - The bisector of angle MKO is MK. - The angle OKM is given as 96 degrees.

To find the angles at the base of the triangle, we can use the properties of isosceles triangles. In an isosceles triangle, the angles opposite the equal sides are also equal.

Let's denote the angles at the base of the triangle as angle M and angle P. Since the triangle is isosceles, we know that angle M is equal to angle P.

Now, let's use the given information to find the value of angle M (or angle P). We know that angle OKM is 96 degrees. Since MK is the bisector of angle OKM, we can conclude that angle MKP is also 96 degrees.

Since the sum of the angles in a triangle is 180 degrees, we can find the value of angle M (or angle P) by subtracting the sum of angles MKP and KPM from 180 degrees.

Let's calculate the value of angle M (or angle P):

180 degrees - (angle MKP + angle KPM) = angle M (or angle P)

180 degrees - (96 degrees + angle KPM) = angle M (or angle P)

To find the value of angle KPM, we need more information. Unfortunately, the given information does not provide any additional details that can help us determine the value of angle KPM.

Therefore, without additional information, we cannot determine the exact values of the angles at the base of the isosceles triangle MOB.

Please provide more information if available, or let me know if there's anything else I can help you with.