Straight Line
What is the sum of angles on a straight line?
180
Q: What is the sum of angles around a point?
360
Q: What do we call angles that are opposite each other when two lines cross?
vertically opposite angles
Q: What is the sum of the angles in a triangle?
180
Q: What is the sum of the angles in a quadrilateral?
360
If one angle is 120°, what is the other angle on the straight line?
60
Q: If one angle around a point is 150°, what is the sum of the other three angles?
210
If one vertically opposite angle is 85°, what is the measure of the other?
85
Q: If a triangle has angles of 50° and 60°, what is the missing angle?
70
Q: If a quadrilateral has angles of 90°, 80°, and 100°, what is the missing angle?
90
If one angle is 3 times the other on a straight line, what are the two angles?
45 and 135
Q: If three angles around a point are 90°, 120°, and 60°, what is the missing angle?
90
If one vertically opposite angle is 112°, what is the measure of the other?
112
Q: If a triangle has two equal angles of 72°, what is the third angle?
36
A quadrilateral has angles in the ratio 1:2:3:4. Find the smallest angle.
36
1 angle on a straight line measures x, the other angle measures 2x. Find the angles.
72 and 108
If one angle around a point is 5 times another, what are the two angles?
60 and 300
Q: Two vertically opposite angles are represented as (2x + 10)° and (4x - 20)°. Find x.
x = 15
Q: A triangle has angles x°, (x + 20)°, and (x + 40)°. Find x.
x = 40
A quadrilateral has three angles measuring 95°, 85°, and 100°. Find the fourth angle.
80
If one angle is (x + 40)° and the other is (x - 60)° on a straight line, find x.
100
If two angles around a point are in the ratio 1:3, find each angle.
90, 270
Is 2x the derivative of x2 ?
Yes
One angle in a triangle is twice another, and the third angle is 20° more than the second. Find the angles.
32, 64, 84
Is 3x2 the derivative x6?
No