Question

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Order the angles from greatest to least for #15-16

Answer 1

15. ∠E > ∠C > ∠D

16. ∠Z > ∠Y > ∠X

Explanation:

In a triangle:

• The largest angle is opposite the longest side.
• The smallest angle is opposite the shortest side.

Question 15

From inspection of triangle CDE:

• ∠D is opposite the shortest side, so it is the smallest angle.
• ∠E is opposite the longest side, so it is the largest angle.

Therefore, the angles in order from greatest to least are:

• ∠E > ∠C > ∠D

Question 16

From inspection of triangle XYZ:

• ∠X is opposite the shortest side, so it is the smallest angle.
• ∠Z is opposite the longest side, so it is the largest angle.

Therefore, the angles in order from greatest to least are:

• ∠Z > ∠Y > ∠X

Answer 2

• 15) ∠E, ∠C, ∠D;
• 16) ∠Z, ∠Y, ∠X.

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We know that the greater the angle the greater the opposite side.

Question 15

The sides from the greatest to least are:

• 42yd, 33 yd, 25 yd

The opposite angles are in same order:

• E, C and D

Question 16

The sides from the greatest to least are:

• 27 m, 25 m, 24 m

The opposite angles are in same order:

• Z, Y and X