give statmens and reasons . in ABC, AB =AC and C=× determine the size of A in terms of ×
In the given triangle ABC, it is stated that AB = AC and angle C is equal to ×.
To determine the size of angle A in terms of ×, we can use the fact that the sum of angles in a triangle is always 180 degrees.
Statement: Since AB = AC, the triangle ABC is an isosceles triangle.
Reason: In an isosceles triangle, two sides are equal in length. In this case, AB and AC are equal.
Statement: In an isosceles triangle, the base angles (the angles opposite the equal sides) are congruent.
Reason: This is a known property of isosceles triangles.
Since angle A is opposite to the equal sides AB and AC in triangle ABC, angle A must also be congruent to angle C.
Statement: Angle A is equal to ×.
Reason: Since angle C is equal to ×, and angle A is congruent to angle C in an isosceles triangle, angle A must also be equal to ×.
Therefore, the size of angle A in terms of × is ×.