Answer:
The equation has infinity solutions
Step-by-step explanation:
we have
Applying distributive property left side
Combine like terms
The linear equation of the left side is equal to the linear equation of the right side
Both lines are identical
therefore
Is a consistent dependent system
The equation has infinity solutions
Given:
In triangle ABC, AB = AC, AD is angle bisector and measure of angle C is 49 degrees.
To find:
The value of x and y.
Solution:
In triangle ABC,
(Given)
So, triangle ABC is an isosceles triangle and by the definition of base angles the base angles of isosceles triangle are congruent.
In isosceles triangle ABC,
The angle bisector of an isosceles triangle is the median and altitude of the triangle. So, the angle bisector is perpendicular to the base.
In triangle ABD,
[Angle sum property]
Therefore, the correct option is B.
