Question

Помогите пжж !!! help !!! В равнобедреном треугольнике МКТ с основанием МТ проведена медиана КL. Найдите градусные меры углов КLТ и КТМ если угол КМТ равен 80 градусам

Answer 1

В равнобедренном треугольнике медиана проведенная к основанию является высотой => уголKLT=90°.
В равнобедренном треугольнике углы при основании равны => уголKTM=углуКМТ=80°

Answer 2

Problem Analysis

We are given a triangle MКТ with base МТ and a median КL. We need to find the degree measures of angles КLТ and КТМ, given that angle КМТ is 80 degrees.

Solution

To solve this problem, we can use the properties of triangles and the fact that the sum of the angles in a triangle is 180 degrees.

Let's start by finding the degree measure of angle КLТ. Since КL is a median, it divides the base МТ into two equal parts. Therefore, angle КLТ is equal to angle КМТ. We are given that angle КМТ is 80 degrees, so angle КLТ is also 80 degrees.

Next, let's find the degree measure of angle КТМ. Since the sum of the angles in a triangle is 180 degrees, we can subtract the measures of angles КМТ and КLТ from 180 to find the measure of angle КТМ.

180 - 80 - 80 = 20

Therefore, angle КТМ has a degree measure of 20 degrees.

Answer

The degree measures of angles КLТ and КТМ are 80 degrees and 20 degrees, respectively.