An architect designs two similar triangular patios. The first patio has angle measures of (x − 10)°, (y + 25)°, and 60°. The second patio has angle measures of (x – 5)°, 55°, and 65°. Find the values of x and y.

x=65 y=40

Step-by-step explanation:

1) solve for x in the second triangle by adding each degree together and setting it equal to 180 (every triangle equals 180°)

2) x should equal 65

3) do the same for the first triangle except plug in 65 (since we know it equals x) and solve for y.

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc

believe it or not anna is correct good job anna give me a fist bump there u go gal