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3 years ago

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

Mathematics

2 answers:

emmasim [6.3K]3 years ago

7 0

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°

Colt1911 [192]3 years ago

3 0

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

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