Question

Tic is an isosceles triangle with a vertex angle I. if the angle of I is 70. find the measure of t.

Answer 1

Angles of a triangle = 180 degrees
T + C = 110 degrees, and T=C (according to the definition of an isosceles triangle).
measure of T is 110/2 which equals 55 degrees

Answer 2

∠T=55°

Explanation:

Given: ΔTIC is an isosceles triangle with a vertex angle I

∠TIC = 70°

By definition of isosceles triangle, two sides are equal

referring to the figure, we can see that TI=IC

this implies ∠ITC = ∠ICT= x (let)

With angle sum property of triangle, sum of all the angles of triangle is 180°

therefore, ∠TIC+∠ICT+∠ITC=180°

⇒x+x+70=180°

⇒2x=110°

⇒x=55°

hence, measure of ∠T=∠C=55°