When two lines or heat segment Intersect four angles are formed.Two pair of angles creates linear pair that is sum of their angle is equal to 180°.The pair that execute not form linear pair space vertical or vertically the opposite angles.
You are watching: What is always true about the angles of an isosceles triangle?
So, A Pair that vertically opposite angles are constantly equal to each other.
In the figure below
are vertically opposite angles.
B. At least two the the angles are congruent.
We are asked to pick the exactly option about the angle of one isosceles triangle. Let united state see our given selections one through one.
A. All 3 angles space congruent.
We know that all angles of an it is provided triangle are equal. We recognize that each equilateral triangle is an isosceles triangle as it 3 congruent angles.
For a triangle to it is in an isosceles triangle at least two angles demands to be congruent, therefore, the provided statement is no true.
B. At least two of the angles are congruent.
For a triangle to be an isosceles triangle at least two angles requirements to it is in congruent, therefore, the provided statement is true.
C. The vertex angle is a appropriate angle.
The vertex angle is not constantly a right angle as when each base angle of isosceles triangle is 50 degree, then vertex angle will certainly be 80 degrees, therefore, the offered statement is not always true.
D. The vertex angle is obtuse.
The vertex edge is not always an obtuse edge as as soon as each base angle that isosceles triangle is 70 degree, then vertex angle will be 40 degrees, therefore, the offered statement is not constantly true.
B.At least two that the angles room congruent.
Isosceles triangle : that is the triangle in which two sides of triangle are same.
In other words ,we have the right to say that
Isosceles triangle is the triangle in which 2 angles of the triangle room equal.
A.All three angles space congruent.
It is no true because it is not vital that all three angles are congruent.
B.At least two of the angles space congruent.
It is true by meaning of isosceles triangle.
C.The vertex angle is a right angle.
It is no true since it is not essential that the vertex edge is a best angle.
D.The vertex edge is obtuse.
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It is no true since it is not essential that the vertex angle is a best angle.