Examples, videos, and solutions to help Grade 4 students learn how to use the addition of adjacent angle measures to solve problems using a symbol for the unknown angle measure.

Common Core Standards: 4.MD.7

### New York State Common Core Math Grade 4, Module 4, Lesson 10

NYS Math Module 4 Grade 4 Lesson 10 Problem Set
Write an equation and solve for the measure of ∠x. Verify the measurement using a protractor.

1. ∠CBA is a right angle.
2. ∠GFE is a right angle.
3. ∠IJK is a straight angle.
4. ∠MNO is a straight angle.
Directions: Solve for the unknown angle measurements. Write an equation to solve.
5. Solve for the measurement of ∠TRU. ∠QRS is a straight angle.
6. Solve for the measurement of ∠ZYV. ∠XYZ is a straight angle.
7. In the following figure is a rectangle. Without using a protractor, determine the measurement of ∠DEB. Write an equation that could be used to solve the problem.
8. Complete the following directions in the space to the right.
a. Draw 2 points M and N. Using a straightedge, draw MN.
b. Plot a point O somewhere between points M and N.
c. Plot a point P, which is not on MN.
d. Draw OP.
e. Find the measure of ∠MOP and ∠NOP.
f. Write an equation to show that the angles add to the measure of a straight-angle.

NYS Math Module 4 Grade 4 Lesson 10 Homework
Write an equation and solve for the measure of ∠x. Verify the measurement using a protractor.

1. ∠DCB is a right angle.
2. ∠HCF is a right angle.
3. ∠JKL is a straight angle.
4. ∠PQR is a straight angle.
Directions: Solve for the unknown angle measurements. Write an equation to solve.
5. Solve for the measurement of ∠USW. ∠RST is a straight angle.
6. Solve for the measurement of ∠OML. ∠LMN is a straight angle.
7. In the following figure DEFH is a rectangle. Without using a protractor, determine the measurement of ∠GEF. Write an equation that could be used to solve the problem.
8. Complete the following directions in the space to the right.
a. Draw 2 points Q and R. Using a straightedge, draw QR.
b. Plot a point S somewhere between points Q and R.
c. Plot a point T, which is not on QR.
d. Draw TS.
e. Find the measure of ∠QST and ∠RST.
f. Write an equation to show that the angles add to the measure of a straight-angle.

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