Check out the attached image. I drew what I think your book is showing. The figure on the left is triangle ABC without any extended segments. The figure on the right has segment AB extended shown in red. This forms the exterior angle x
The rule that connects x, y and z together is the remote interior angle theorem. It says that adding two interior angles is going to be equal to the exterior angle that is not touching either interior angle. The "remote" part means "far away" so just think of the two angles that are furthest way or not touching the exterior angle in question.
In terms of algebra, the rule is
x+y = z
The answer is 10 ft. make a triangle 6ft tall, 8ft long (90 degrees to the other line) and draw a line to complete the triangle. This is a type of 3,4,5 triangle, a 6,8,10. The other way to do it is sqrt(6^2+8^2) = sqrt(36+64) = sqrt (100) = 10.
Answer:56
Step-by-step explanation: math
Answer:
30°, 45°, and 105°
Step-by-step explanation:
Find the value of x
2x + 3x+ 7x = 180
12x = 180
x = 180/12
x=15
Get the value of the angles
2x = 2(15)
3x= 3(15)
7x= 7(15)
The measure of the angles are 30°, 45°, and 105° respectively.