Question

in an isosceles triangle each base angle is double the Vertical angle. find all angles of a triangle of the triangle​

Answer 1

Answer:

Base angles in the isosceles triangle have the same measures.

The sum of the internal angles in any planar triangle is 180 degrees.

Let us call the measure of the base angles alpha and the measure of the vertical angle beta.

We get alpha + alpha + beta = 180 degrees.

Now, we use what we are given in the problem, namely that alpha = 2 beta.

We plug this into our equation above:

2 beta + 2 beta + beta = 180 degrees.

We solve it for the beta:

5 beta = 180 degrees,

beta = 180/5 degrees,

beta = 36 degrees.

We plug this result back into the relation alpha = 2 beta:

alpha = 2 * 36 degrees,

alpha = 72 degrees.

The respective measurements are then 72, 72, 36 degrees.

Check: Indeed 72 + 72 + 36 degrees = 180 degrees and

72 degrees = 2 * 36 degrees.

Answer 2

if we check we get 72 it is isoceles..

hi didi kaise ho???