Question

One angle of an isosceles triangle measures 110°. Which other angles could be in that isosceles triangle? Choose all that apply.

Answer 1

Answer:

Therefore the correct option is 2. 35 degree.

$\angle ABC=\angle ACB=35\°$

Step-by-step explanation:

Consider an Isosceles Triangle, Δ ABC where,

∠BAC = 110°

TO Find:

∠ ABC = ∠ACB = ?

Solution:

For an Isosceles Triangle

Base Angles are equal

∴$\angle ABC=\angle ACB=x\ (say)$

Now,

Triangle sum property:

In a Triangle sum of the measures of all the angles of a triangle is 180°.

$\angle A+\angle B+\angle C=180\\\\110+x+x=180\\\therefore 2x=180-110=70\\\therefore x=\dfrac{70}{2}=35\°$

Therefore,

$\angle ABC=\angle ACB=35\°$