Angle Relationships - Angle Relationships (Page 2 of 2) in pdf

Angle Relationships - Angle Relationships Page 2

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1-5 Study Guide and Intervention

(continued)

Angle Relationships

Perpendicular Lines Lines, rays, and segments that form four right angles are

perpendicular. The right angle symbol indicates that the lines are perpendicular.

⊥

In the figure at the right,

is perpendicular to

, or

Example:

Find x so that

and

are perpendicular

⊥

, then m∠ DZP = 90.

m∠ DZQ + m∠ QZP = m∠ DZP

Sum of parts = whole

(9x + 5) + (3x + 1) = 90

Substitution

12x + 6 = 90

Combine like terms.

12x = 84

Subtract 6 from each side

x = 7

Divide each side by 12.

Exercises

⊥

1. Find the value of x and y so that

2. Find m∠ MSN.

⊥

3. m∠ EBF = 3x + 10, m∠ DBE = x, and

. Find the value of x.

4. If m∠ EBF = 7y - 3 and m∠ FBC = 3y + 3, find the value of y so

⊥

that

5. Find the value of x, m∠ PQS, and m∠ SQR.

6. Find the value of y, m∠ RPT, and m∠ TPW.

Chapter 1

Glencoe Geometry

Angle Relationships - Angle Relationships Page 2