Angles
What is another name for Angle XYZ?
<Y
<A & <B are complimentary. If <A measures 42, what is <B?
48 degrees!
Draw and label vertical angles.
Vertical angles are opposite angles made when two straight lines intersect. They're on opposite sides of a circle.
Can a triangle have side lengths of 10, 5, and 6? Explain.
The two smaller ones have to add up to more than the third side. Therefore, this is NOT a valid triangle.
The sum of angles in a triangle is...
180 degrees
Straight line angles are exactly ... degrees
180
<1 & <2 are supplementary. <2 is 124.5. What is <1?
55.5
What are right-angled triangles?
Triangles that have one right angle.
A triangle has 2 angles that measure 35.6 and 78. What is the measure of the third angle?
66.4
Triangles that have all equal sides and angles are called...?
Equilateral triangles
What do angles of a revolution add up to?
360 degrees
<A & <B are complementary. Find the value of X.
<A: X-16
<B: X
37
What are obtuse angles?
Angles between 90 and 180 degrees.
A triangle has an angle that measures 52 and one that is a right angle. What is the measure of the third angle?
38 degrees
Scalene triangles have...
All different sides and angles
What are supplementary angles?
Two angles are supplementary if their sum is 180 degrees.
<1 & <2 are supplementary. Find <2:
<1: X
<2: 2X + 15
125
(X is 55, so 2*55 = 110 + 15 = 125)
<B & <S are vertical angles. Find the value of X.
<B: 2x + 10
<S: 70
30
three angle measures in a triangle are:
1: x
2: 2x + 2
3: x +6
Find the measure of the THIRD angle.
49
Triangles that have one pair of equal sides and angles are called...?
Isosceles triangle
What are complementary angles?
Two angles are complementary if they add up to 90 degrees.
<L & <S are complementary. Find the measure of BOTH angles:
<L: 2x
<S: 4x-6
<L: 32
<S: 58
Acute triangles are where...
What are adjacent angles?
Angles that are NEIGHBORS! They share a ray between them.
The longest side of a triangle will always be opposite what?
The largest angle