Question

8.35 triangle ABC is isosceles with AB=AC.find the values of x and y​

Answer 1

Answer:

x+y=180

180xy

Step-by-step explanation:

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Answer 2

Answer:

x = y = 105°

Step-by-step explanation:

As the triangle is isosceles so this means that base angles are equal.

As from the figure angle BAC = 30°

Then

Angle ABC and ACB are equal as AB = AC and BC is the base

Sum of angles of triangle is 180°

Angle ABC + Angle ACB + Angle BAC = 180°

As ABC = ACB

2ABC + BAC = 180°

2ABC + 30° = 180°

2ABC = 150°

ABC = 75°

Hence ACB = 75°

Now considering line AB and AC

ACB + y = 180°

y = 180° - ACB

y = 180° - 75°

y = 105°

Similarly

x = 105°