3-5: TEKS Practice

  • 1. Find the pair of vertical angles in the figure.

    Two intersecting lines form four angles. Angles Y and R are opposite each other. Angle W is opposite the fourth angle, which is split into two angles by a ray. Those angles are N and H.

  • 2. Find the angle that is vertical to ∠ HJY.

    Three lines intersect at point J to form six angles, listed counterclockwise: HJY, YJU, UJL, LJP, PJQ, QJH.

  • 3. Think About the Process

    Lines JK and TV intersect at point M. Angle KMT and angle VMJ are opposite each other. Angle KMT measures (357/x)°. Angle VMJ measures 119°.

    • a. What relationship between ∠ KMT and ∠ VMJ should you use to find the value of x?

    • b. Find the value of x.

  • 4. Find the value of x.

    Two lines intersect to form four angles. One angle measures 32° and is opposite an angle that measures ((x + 50)/5)°.

  • 5. Think About the Process For the figure, ∠ GKM is vertical to ∠ VKX.

    Lines GX and MV intersect at point K. Angle GKM measures (3x)°. Angle GKV is adjacent to angle GKM and measures 123°.

    • a. What other facts would you need in order to use this pair of angles to find the value of x? Select all that apply.

      • A. The measures of vertical angles are equal.

      • B. Adjacent angles do not share any interior points.

      • C. All right angles measure 90°.

      • D. The measures of complementary angles add up to 90°.

      • E. The measures of supplementary angles add up to 180°.

    • b. The value of x is .

  • 6. Find the value of x.

    Lines GZ and LW intersect at point J to form four angles. Angle GJL measures (9x)°. Angle GJW is adjacent to angle GJL and together they form line LW. Angle GJW is split into two angles by a ray. One measures 18° and the other is a right angle.


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Table of Contents

Digits, Grade 7, Volume 1, Homework Helper Unit A: Number and Operations Unit B: Expressions, Equations, and Relationships Unit C: Measurement and Geometry Unit D: Proportionality English/Spanish Glossary Formulas Math Symbols Formulas Measures Properties