What is the value of ∠ a?
∠ a = 87
What are angles called that add up to 180 degrees?
Supplementary
What is the value of T?
T = 71
What do all 3 angles inside a triangle add up to?
180 degrees
What is the Pythagorean Theorem?
a2+b2=c2
What is the relationship between angles 3 and 6 ?
Alternate Interior Angles.
One way to prove that lines are parallel lines is through understanding that corresponding angles are ________
Congruent
What is the relationship between alternate interior angles?
They are congruent.
What is the measure of angle T?
71 degrees
Use the pythagorean theorem to find c.
a = 6 feet
b = 8 feet
c = 10 feet
If the measure of angle 4 is 112, what is the measure of angle 6?
68 degrees
What are angles called that add up to 90 degrees?
Complementary Angles
What is the measure of x?
x = 135 degrees
What is the measure of angle U?
C = 40 degrees
Use the pythagorean theorem to find a.
b = 12 feet
c = 13 feet
y= 5
What is the relationship between angles 5 and 8?
Vertical Angles.
If the measure of angle 2 is 30 degrees, what is the measure of angle 6?
30 degrees
If the measure of angle 6 = 75 and the measure of angle 7 = 3x, what is the value of x?
x=25
What is the measure of x?
x = 65 degrees
Do these sides form a right triangle?
20, 29, 21
Yes
If the measure of angle 2 is 37 degrees, what is the measure of angle 7 AND what is the angle relationship?
Angle 7 = 37 degrees AND Alternate Exterior.
If the measure of angle 5=98°, then the measures of angles 3 AND 4 are:
Angle 3 = 82 degrees.
Angle 4 = 98 degrees.
If the measure of angle 4 = 5x+3 and the measure of angle 6 = 8x-5, then find the measure of angle 4.
First, x = 14.
So angle 4 = 73 degrees.
Find the value of ∠ x
x = 70
Do these sides form a right triangle?
16, 9, 11
No