Question

triangle tic is an isosceles triangle with vertex angle I. find the measures of the base angles of triangle tic if m< I =100

Answer 1

Answer: Just took the test!

Step-by-step explanation: D. 40

Answer 2

The measure of the base angles of triangle TIC , that is ∠C and ∠T is 40°.

Explanation:

In Isosceles ,Δ TIC

Given : ∠I= 100°

To find : ∠C= ?, ∠T= ?

Solution:

Isosceles triangle has two equal sides. And angles opposite to equal sides are equal.

So,∠C = ∠T =x

In Δ TIC

∠I + ∠T + ∠C = 180° (Angle sum property of triangles)

100° + x + x = 180°

2x = 80°

x = 40°

∠C = ∠T = x = 40°

The measure of the base angles of triangle TIC , that is ∠C and ∠T is 40°.