Answer:
∠T=55°
Step-by-step 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°
