Classifying Angles
An angle measuring 127° is classified as what type of angle?
What is an obtuse angle?
What are acute, right, obtuse, and straight?
If ∠ABC = 95°, ∠ABD = 37°, and point D is in the interior of ∠ABC, find ∠DBC.
What is 58°?
Two angles are supplementary. If one angle is 38° more than the other, find both angles.
What are 71° and 109°?
A line, segment, or ray that divides an angle in half.
What is an angle bisector?
Using three points A, B, and C where B is the vertex, write three different ways to name the angle.
What are ∠ABC, ∠CBA, and ∠B?
Ray BF lies in the interior of ∠ABE. If ∠ABF = 3x + 12, ∠FBE = 5x - 8, and ∠ABE = 112°, find the value of x.
What is x = 13.5?
Vertical angles are formed by intersecting lines. If one vertical angle measures (5x - 18)° and its vertical angle measures (3x + 22)°, find x.
What is x = 20?
Two angles are complementary. If one angle is 40° more than twice the other, classify both angles.
What are acute angles (16⅔° and 73⅓°)?
If rays BE and BF are drawn from point B, and point D lies in the interior of ∠EBF, name the different angles that can be named using only these four points?
What are ∠EBD, ∠DBF, and ∠B?
Three rays BP, BQ, and BR extend from point B. If ∠PBQ = 4y + 15, ∠QBR = 2y - 5, and ∠PBR = 7y - 10, find y and determine if Q lies between P and R.
What is y = 20, and yes, Q lies between P and R?
Two complementary angles have measures in the ratio 7:11. Find the measure of the larger angle.
What is 55°?
If an angle is 15° less than twice its supplement, what type of angle is it?
What is an acute angle (65°)?
Given points M, N, O, P, and Q where O is the vertex and rays extend to each other point, if ∠MON = 30°, ∠NOP = 45°, ∠POQ = 60°, what is the measure of ∠MOQ?
What is 135°?
∠XYZ is divided by rays YA and YB into three angles. If ∠XYA : ∠AYB : ∠BYZ = 2:3:4 and ∠XYZ = 126°, find ∠AYB.
What is 42°?
Lines AB and CD intersect at point E. If ∠AEC = 4y + 32 and ∠BED = 6y + 8, find the measures of all four angles formed.
What are 80°, 80°, 100°, and 100°?
Three angles form a straight line. The first angle is 20° less than the second, and the third angle is 40° more than the second. Classify each angle.
What are acute (33.3°), acute (53.3°), and obtuse (93.3°)?
In the notation ∠RST, if this angle measures 75° and ray SU bisects it, name all angles that measure 37.5°.
What are ∠RSU and ∠UST?
Point M is in the interior of ∠PQR, and point N is in the interior of ∠MQR. If ∠PQM = 2a + 18, ∠MQN = a - 6, ∠NQR = 3a - 12, and ∠PQR = 156°, find the measures of all three component angles.
What are ∠PQM = 70°, ∠MQN = 20°, and ∠NQR = 66°?
Three lines intersect at a point, forming six angles. If the measures of the angles going clockwise are x°, 2x°, (x+30)°, x°, 2x°, and (x+30)°, find the value of x and classify the type of angles formed.
What is x = 37.5°, forming three pairs of vertical angles measuring 37.5°, 67.5°, and 75°?