Linear Pair
Two angles form a straight line. One angle is 120°. Find the other.
60°
Two lines intersect. One angle measures 40°. Find its vertical angle.
40°
Two angles add up to 180°. One angle = 110°. Find the other.
70°
Two angles add up to 90°. One angle = 25°. Find the other.
65°
Define a linear pair.
Two adjacent, supplementary angles that form a straight line.
Define vertical angles.
Angles opposite each other when two lines intersect; they are congruent.
Define supplementary angles.
Two angles whose measures sum is 180°.
Define complementary angles.
Two angles whose measures sum is 90°
One angle in a linear pair measures 95°. Find the other.
85°
Two lines intersect forming vertical angles. One angle is 75°. Find all four angles.
75°, 105°, 75°, 105°
Two angles are supplementary. m∠1 is (2x+5)° and m∠2=115°. Solve for x.
x=30
Two angles are complementary. m∠1 is (2x+5)° and m∠2=65°. Solve for x.
x=10
Two angles lie on a straight line. m∠1=(2x + 10)° and m∠2=(3x – 20)°. Solve for x and each angle.
x=38
m∠1=86°
m∠2=94°
Two lines are intersecting. ∠1 and ∠2 are vertical. m∠1=x+20 and m∠2=3x-10. Solve for x and each angle.
x= 15
m∠1= 35°
m∠2= 35°
Two angles are supplementary. m∠1 is (3x + 10)° and m∠2=(2x – 20)°. Solve for x and each angle.
x=38
m∠1=124°
m∠2=56°
Two angles are complementary. m∠1 is (3x + 10)° and m∠2=(2x – 5)°. Solve for x and each angle.
x=17
m∠1=61°
m∠2=29°
Linear pair angles are in a ratio of 3:2. Find the measures.
m∠1=108°
m∠2=72°
Two lines are intersecting. m∠A=2x+10. ∠B is adjacent to ∠A. m∠B=y+3. ∠C is vertical to ∠B. m∠C=2x-10. Find x, y, m∠A, m∠B, and m∠C.
x=45
y=77
m∠A=100°
m∠B=80°
m∠C=80°
Supplementary angles are in a ratio of 5:4. Find their measures.
m∠1=100°
m∠2=80°
Complementary angles are in a ratio of 4:5. Find the measures.
m∠1=40°
m∠2=50°