Last time I checked that was about right, but it's been a few years since then.
thanks for the points dude
The walls are vertical so the angle opposite X would be a right angle which is 90 degrees.
X would be 180 - 90 - 35 = 55 degrees
X and 2y - 5 are complementary angles which add together to equal 90:
2y - 5 + 55 = 90
Simplify:
2y +50 = 90
Subtract 50 from both sides:
2y = 40
Divide both sides by 2:
y = 20
Answer:
The angles are 22.5 and 67.5.
Step-by-step explanation:
A complement is the angle that when added to the given angle gives 90 degrees.
Therefore, the angle x is 3 times larger than its complement.
This means that x is 3/4 of 90 degrees and complement is 1/4 of 90 degrees.
Therefore, the angles are 22.5 and 67.5.
When a perpendicular is dropped from the right-angle (C) to the opposite side AB, the metric relations apply:
BD*BA=a^2 ..........................(1)
AD*AB=b^2...........................(2)
BD*DA=DC^2........................(3)
Given AD=6, AB=24, using metric relation (2) above, we have
b^2=6*24=144
=>
b=sqrt(144)=12
By the way, we conclude that this is a 30-60-90 triangle because b/AB=(1/2)=sin(B) => B=30 degrees.
Answer: b=12
