Tyler thinks that this figure has enough information to figure out the values of *a *and *b*.

Do you agree?

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Explain your reasoning.

Elena and Diego each wrote equations to represent these diagrams. For each diagram, decide which equation you agree with, and solve it. You can assume that angles that look like right angles are indeed right angles.

1. Elena: x = 35 Diego: x + 35 =180

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Solve Diego's equation: x + 35 =180

x = ________

2. Elena: 35 + w + 41 = 180 Diego: 35 + w = 180

Solve Elena's equation: 35 + w + 41 = 180

w = _________

3. Elena: w + 35 = 90 Diego: 2w + 35 = 90

Solve Elena's equation: w + 35 = 90

w = _________

4. Elena: 2w + 35 = 90 Diego: w + 35 = 90

Solve Elena's equation: 2w + 35 = 90

w = _________

2w + 35 = 90

5. Elena: w + 148 = 180 Diego: x + 90 = 148

Solve Elena's equation: w + 148 = 180

w = _________

Solve Diego's equation: x + 90 = 148

x = ________

Find the unknown angle measures.

w = _______ ^{o}

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Show your thinking.

b = _______ ^{o}

Show your thinking.

x = _______ ^{o}

Show your thinking.

m = _______ ^{o}

Show your thinking.

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