🔒 PHASE 3 — LOCK 2

Level: Algebra — Supplementary & Complementary Angles

Time: 15 minutes

Student Instructions

Envelope 2: The Algebra Lock

Congratulations! You have opened Lock 1.

Now you must solve equations involving supplementary and complementary angles.

Remember:

Supplementary angles:

x+y=180∘

Complementary angles:

x+y=90∘

Find x and y in each puzzle.

Finally, calculate:

$$x+y+z$$

to obtain the 3-digit Lock 2 code.

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Puzzle 1 — Supplementary Angles

Two angles form a straight line.

(3x+15)∘

and

(2x+25)∘

Find x.

x= ______

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Puzzle 2 — Complementary Angles

Two angles form a right angle.

(4y+5)∘

and

(2y+13)∘

Find y.

y= ______

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Puzzle 3 — The Final Variable

Two supplementary angles are:

(5z−10)∘

and

(2z+15)∘

Find z.

z= ______

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🔐 LOCK 2

Calculate:

x+y+z​

Your 3-digit code is:

🔒 _ _ _