Question

Triangle tic is an isosceles triangle with vertex angle i if the measure of < i=70 then find the measure of < t a- 70 b-110 c- 55d-20

Answer 1

I would say that the answer is 55.
2x+70=180
-70 -70
2x=110
/2 /2
x=55

Answer 2

The answer is the option C

`55\°`

Explanation:

we know that

An isosceles triangle has two equal sides and two equal angles

The two equal angles are called the base angles, and the third angle is called the vertex angle

In this problem we have the isosceles triangle TIC

∠I=
`70\°` -----> vertex angle

∠T=∠C -----> base angles

Remember that the sum of the internal angles of a triangle is equal to
`180\°`

so

∠I+∠T+∠C=
`180\°`

∠I+2∠T=
`180\°`

Substitute

`70\°`+2∠T=
`180\°`

Solve for angle T

2∠T=
`180\°-70\°`

∠T=
`110\°/2`

∠T=
`55\°`