Angles - Problems with Solutions

By Catalin David
Problem 1
An angle measures:
Problem 2
The unit of measurement used for angles is:
Problem 3
Which point is the vertex of the angle?


Problem 4
If an angle is designated by only one letter, then that letter represents:
Problem 5
If an angle is designated by 3 letters, then the one in the middle represents:
Problem 6
Are ∠BAC and ∠ABC the same angle?
Problem 7
Are ∠BAC and ∠DAE the same angle?


Problem 8
The measure of an acute angle is:
Problem 9
∠BAC is:


Problem 10
The measure of a right angle is:



Problem 11
An angle whose sides are perpendicular has a measure of:
Problem 12
What type of angle is ∠ABC?


Problem 13
The measure of an obtuse angle is
Problem 14
∠ABC is


Problem 15
∠ABC is


Problem 16
An angle with both sides on the same line is
Problem 17
The measure of a straight angle is:
Problem 18
А bisector is the half-line which splits an angle into equal angles.
Problem 19
If the measure of an angle is 72°, the bisector forms two angles of each.
Problem 20
Are ∠BAC and ∠DEF adjacent?


Problem 21
Are ∠BAC and ∠DAE adjacent?


Problem 22
Are ∠BAC and ∠EDC adjacent?


Problem 23
Are ∠BAC and ∠CAD adjacent?


Problem 24
Are ∠BAC and ∠BAD adjacent? [answer]


Problem 25
∠ABC has a measure of 42° and ∠CBD has a measure of 36°. Is the measure of ∠ABD 78°?


Problem 26
∠ABC has a measure of 56° and ∠ABD has a measure of 100°. Is the measure of ∠DBC 44°?


Problem 27
Two angles are complementary if the sum of their measures is [answer]
Problem 28
Are ∠A and ∠B complementary?


Problem 29
If OA and OC are perpendicular, are ∠AOB and ∠BOC complementary?


Problem 30
The measure of ∠AOB is


Problem 31
If an angle has a measure of 40°, the measure of its complementary is .
Problem 32
Two angles are supplementary if the sum of their measures is
Problem 33
Are ∠AOB and ∠BOC supplementary?


Problem 34
What is the measure of ∠BOC?


Problem 35
If ∠AOB and ∠COD are complementary, what is the measure of ∠BOC?


Problem 36
∠AOB and ∠BOC are complementary. ∠BOC and ∠COD are complementary. Are ∠AOB and ∠COD equal?


Problem 37
∠AOB and ∠BOC are complementary. ∠BOC and ∠COD are complementary. If ∠BOC has 30°, what is the measure of ∠AOD?


Problem 38
Lines AC and BD meet in point O. Are ∠AOB and ∠COD opposite angles?


Problem 39
Are ∠AOB and ∠COD opposite angles?


Problem 40
∠AOB and ∠COD are opposite angles. Do they have the same measure?


Problem 41
∠AOB and ∠COD are opposite angles. If ∠AOB=35°, what is the measure of ∠COD?


Problem 42
∠AOB and ∠COD are opposite angles. If ∠AOB = 35°, what is the measure of ∠DOA?


Problem 43
Let a and b be two lines intersected by line c. Find two alternate interior angles. [answer]


Problem 44
Let a and b be two lines intersected by line c. Find two alternate exterior angles.


Problem 45
Let a and b be two lines intersected by line c. Find two corresponding angles.


Problem 46
Are lines a and b parallel?


Problem 47
Are lines a and b parallel?


Problem 48
Let a and b be two parallel lines intersected by line c. If m∠1 = 75°, what is the measure of ∠7?


Problem 49
Let a and b be two parallel lines intersected by line c. If m∠2 = 120°, what is the measure of ∠6?


Problem 50
Let a and b be two parallel lines intersected by line c. If ∠2 has 35°, what is the measure of ∠7? [answer]


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