Question

Each of the two equal angles of an isosceles triangle is twice the third angle.Find the angles of the triangle.​

Answer 1

Answer:

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Step-by-step explanation:

so here let the measure of each of equal angle of isoceles triangle be x degree and that of third angle be y degree

so according to first condition

x=2y (1)

so thus using angle sum property of triangle

we get

angle x+angle x+angle y=180

thus 2x+y=180

so (2×2y)+y=180

so 5y=180

thus y=36

so substitute value of y in (1)

we get x=72

thus measure of each equal angle of isoceles triangle is 72 degree and that doctors one is 36 degree

Answer 2

Answer:

72°, 72° and 36°

Step-by-step explanation:

Given:

Each of the two equal angles of an isosceles triangle is twice the third angle.

To Find:

The measurement of all angles

Solution:

Let the third angle be x.

Both equal angles = 2x

A/Q,

Sum of all angles of triangle = 180°

=> 2x + 2x + x = 180°

=> 5x = 180°

=> x = 180°/5

x = 36°

Both equal angles = 2x = 2×36° = 72°

Therefore, angles of the triangle are 72°, 72° and 36°.