Download D. Legg-Battles

D. Legg-Battles
Geometry
1-5 Exploring Angle Pairs
Name________________________________________
Date_______________________Period_____________
Are the indicated angles adjacent?
____________ 1. ∠𝐵𝐴𝐶 𝑎𝑛𝑑 ∠𝐶𝐴𝐷 ____________ 2. ∠𝐸𝐹𝐺 𝑎𝑛𝑑 ∠𝐻𝐺𝐹 ____________ 3. ∠𝐽𝑁𝑀 𝑎𝑛𝑑 ∠𝐿𝑁𝐾
∠1 and ∠2 are complementary angles. Given the measure of ∠1, find m∠2.
4. m∠1 = 54, m∠2 = _____________
5. m∠1 = 17, m∠2 = _____________
6. m∠1 = 78, m∠2 = _____________
∠1 and ∠2 are supplementary angles. Given the measure of ∠1, find m∠2.
7. m∠1 = 54, m∠2 = _____________
8. m∠1 = 113, m∠2 = _____________
9. m∠1 = 67, m∠2 = _____________
Using the diagram, tell whether the angles are vertical angles, a linear pair, or neither.
__________________________________ 10.  and 1
__________________________________ 11.  and 1
__________________________________ 12. 4 and 1
__________________________________ 13. and 5
__________________________________ 14.  and 3
__________________________________ 15.  and 5
__________________________________ 16.  and 2
__________________________________ 17.  and 7
Find the missing angle measures.
18.
19.
𝑚∠1 = __________
𝑚∠1 = __________
𝑚∠2 = __________
𝑚∠2 = __________
𝑚∠3 = __________
𝑚∠3 = __________
𝑚∠4 = __________
𝑚∠4 = __________
D. Legg-Battles
1-5 Exploring Angle Pairs
Use the diagrams to find the indicated measurements. Show your work by writing an equation for each.
20. x = ____________
21. x = ____________
22. x = ____________
𝑚∠𝐴𝐵𝐷 = _______________
𝑚∠𝐴𝐵𝐷 = _______________
𝑚∠𝐴𝐵𝐷 = _______________
𝑚∠𝐷𝐵𝐶 = _______________
𝑚∠𝐷𝐵𝐶 = _______________
𝑚∠𝐷𝐵𝐶 = _______________
23. x = ____________
24. x = ____________
25 . x = ____________
𝑚∠𝐴𝐵𝐷 = _______________
𝑚∠𝐴𝐶𝐵 = _______________
𝑚∠𝐴𝐶𝐷 = _______________
𝑚∠𝐷𝐵𝐶 = _______________
𝑚∠𝐷𝐶𝐸 = _______________
𝑚∠𝐷𝐶𝐸 = _______________
D. Legg-Battles
1-5 Exploring Angle Pairs
Given: 𝒎∠𝑨 = 𝟒𝒙 − 𝟐 𝒂𝒏𝒅 𝒎∠𝑩 = 𝟏𝟏𝒙 + 𝟏𝟕. Write an equation for each of the following and solve for x.
Circle your answers.
26. Find x if the angles are complementary.
27. Find x if the angles are supplementary.
28. ⃗⃗⃗⃗⃗
𝐴𝐷 𝑏𝑖𝑠𝑒𝑐𝑡𝑠 ∠𝐵𝐴𝐶. Write an equation and solve for x. Then find the indicated measures.
x = ____________
𝑚∠𝐵𝐴𝐷 = _______________
𝑚∠𝐷𝐴𝐶 = _______________
Write an equation to help you solve the following problems.
____________________ 29. The measure of one angle is 7 times the measure of its complement. Find the
measure of each angle.
____________________ 30. The measure of one angle is 38 degrees less than the measure of its supplement.
Find the measure of each angle.