Question

triangle MNP is similar to triangle HJK, and both triangles are isosceles. If angle P > 90 degrees, name all angles that are congruent to angle H

Answer 1

Answer:

∠ H = ∠ J = ∠N = ∠ M

Step-by-step explanation:

Triangle MNP is similar to triangle HJK and both triangles are isosceles triangles.

If the angle P is greater than 90 degrees, then angles M and N are the equal angles of the isosceles triangle MNP.  

Hence, angle M = angle N

Now, as Δ MNP and Δ HJK are similar so, ∠ M = ∠ H, ∠ N = ∠ J, and ∠ P = ∠K

Again ∠ H = ∠ J as Δ HJK is isosceles.

Therefore, ∠ H = ∠ J = ∠N = ∠ M (Answer)