Question

In the figure; Triangle ABC is isosceles with BC=AC . If ∠A = 70, find the values of x and y . Give reasons for your answer.

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Answer 1

∠B = 70 and ∠C = 40

Explanation:

The image is not loading for me but with isosceles triangles there will two angles that are the same and one different angle.

All the angles will add up to equal 180 degrees.

In this case the different angle would angle C as the two same lines meet at that point.

From this you can that angle A and B are the same, both 70, so angle C would be:

180 (all the angles of a triangle added together) - 70 - 70 = 40

I'm assuming that x and y are angles B and C as they are not stated so they would be: ∠B = 70 and ∠C = 40.

Here is a diagram to demonstrate this: