AB =AC, measure of <A =x°Measure of <B =
Since AB = AC, we have isosceles triangle ABC. Therefore, the measure of angle B is also x°.
To find the measure of angle B in terms of angle A, let's use the information provided:
Given: AB = AC
Since AB is equal to AC, we can conclude that angle B is equal to angle C. Let's denote angle C as y°.
So, measure of angle B = measure of angle C = y°.
Now, we are given that measure of angle A = x°.
To find the relationship between angle A and angle B, we can use the fact that the sum of angles in a triangle is 180°.
In triangle ABC, we have:
Angle A + Angle B + Angle C = 180°
Substituting the values we know:
x° + y° + y° = 180°
Combining like terms:
x° + 2y° = 180°
Now, we can solve this equation to find the relationship between x and y.
Subtracting 2y° from both sides:
x° = 180° - 2y°
Finally, we can conclude that the measure of angle B in terms of angle A is:
Measure of <B = 180° - 2y°