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The angles of a triangle are in the ratio 4:5:6, find their measures degrees

User Matthias M
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1 Answer

3 votes

Answer:

48°, 60°, 72°

Explanation:

Hello!

The sum of angles in a triangle is 180°. The 180° in this triangle is being split up into the ratio 4:5:6.

This means that 4x + 5x + 6x = 180°. We can solve for x and substitute to find the missing measures.

Solve for x

  • 4x + 5x + 6x = 180
  • 15x = 180
  • x = 12

This means that 4x is 48°, 5x is 60°, and 6x is 72°.

User Bartosz Czerwonka
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