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Isosceles and equilateral triangle theorems — Homework

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Isosceles and equilateral triangle theorems — Homework

Use the Base Angles Theorem, its converse, and the equilateral-triangle corollary as needed.

  1. 1.Triangle JKL is isosceles with JK ~= JL. angle K = 48 degrees. Find angle L.
  2. 2.Using the same triangle, find angle J.
  3. 3.An equilateral triangle has an angle labeled 3x + 30 degrees. Find x.
  4. 4.Triangle MNO has angle M ~= angle N. Side OM = 9. Which other side must also equal 9, and which theorem justifies it?
  5. 5.A triangle has sides of length 7, 7, and 4. Without measuring any angles, what can you say about two of its angles, and why?
🌲 Homeschool of the FutureTenth Grade · Math · week 16 homework