Finding Measures of Angles
One of two complementary angles measures 38∘. Find the other angle.
What is 52 degrees?
Vertical angles measure (x+15)∘ and 47∘. Find x.
What is 32 degrees?
Ray BD bisects ∠ABC. If m∠ABC=86∘, find m∠ABD.
What is 43 degrees?
A straight path that extends forever in both directions.
What is a Line?
The common endpoint of the two rays that form an angle.
What is a Vertex?
Classify an angle measuring 90∘.
What is a Right angle?
One of two supplementary angles measures 147∘. Find the other angle.
What is 33 degrees?
Complementary angles measure (2x+10)∘ and 30∘. Find x.
What is 25 degrees?
Ray QS bisects ∠PQR. If m∠PQS=34∘, find m∠PQR.
What is 68 degrees?
A part of a line with two endpoints.
What is a Line Segment?
An angle measuring less than 90∘
What is Acute angle?
Classify an angle measuring 180∘.
What is a Straight angle?
Two angles are vertical. One measures 112∘. Find the other angle.
What is 112 degrees?
Supplementary angles measure (3x+5)∘ and (x+15)∘. Find x.
What is 40 degrees?
An angle bisector creates angles measuring (3x+4)∘ and (x+28)∘. Find x and the measure of the complete angle.
What is x=12? ; complete angle =80∘
A part of a line that has one endpoint and continues forever in one direction.
What is a ray?
An angle measuring more than 90∘ but less than 180∘.
What is an Obtuse angle?
A right angle is divided into angles measuring 37∘ and x∘. Find x.
What is 53 degree?
Two adjacent angles form a linear pair. One measures 68∘. Find the other angle.
What is 112 degrees?
Vertical angles measure (5x−17)∘ and (3x+39)∘. Find x and the angle measure.
What is x=28? ; each angle is 123 degrees.
Ray KM bisects ∠JKL. The complete angle measures (6x+12)∘, and one half measures (2x+24)∘. Find x and m∠JKL.
What is x=18?; m∠JKL=120∘
Points A, B, and C lie on the same line. What word describes these points?
What is Collinear?
In ∠XYZ, identify the vertex and the sides of the angle.
What is Vertex: Y; sides: YX→ and YZ→.
A straight angle is divided into three adjacent angles measuring 42∘, 65∘, and x∘. Find x.
What is 73 degrees?
Three adjacent angles form a straight angle. Two measure 35∘ and 64∘. Find the third angle.
What is 81 degrees?
A linear pair measures (4x+8)∘ and (2x+22)∘. Find x and both angle measures.
What is x=25? ; 108∘ and 72∘
An angle bisector creates angles measuring (5x−9)∘ and (3x+21)∘. Find x, each half, and the complete angle.
What is x=15? ; each half =66∘; complete angle =132∘
Explain the difference between AB↔, AB‾, and AB→.
What is AB is a line, AB‾ is a segment, and AB→ is a ray beginning at A and passing through B.
Two angles have the same measure but appear in different positions. What mathematical term describes their relationship?
What are Congruent angles.
An angle measures 18∘ more than twice another angle. The smaller angle measures 36∘. Find and classify the larger angle.
What is 90∘; right angle.