In a triangle ∠ ABC, ∠ A =50°, ∠ B =60° and ∠ C = 70°. Find the measure of the angles of the triangle formed by joining the mid-points of the sides of this triangle.

Question

In a triangle &#x2220; ABC, &#x2220; A =50&#xB0;, &#x2220; B =60&#xB0; and &#x2220; C = 70&#xB0;. Find the measure of the angles of the triangle formed by joining the mid-points of the sides of this triangle.

Philoid · Accepted Answer

Given,

In a ΔABC

∠A =50°

∠B =60°

∠C = 70°

Let DEF are mid point of ΔABC

BDEF and CDFE are parallelogram

∠B = ∠E & ∠C = ∠F

∠E = 60°

∠F = 70°

Similarly

∠D = ∠A

∠D = 50°

In a triangle ∠ABC, ∠A =50°, ∠B =60° and ∠C = 70°. Find the measure of the angles of the triangle formed by joining the mid-points of the sides of this triangle.