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Based on the diagram X=_____? Briefly explain your reasoning?...
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High School Teacher
In geometry there are often several ways to solve and various reasons you can use.
The first and largest triangle has
a right angle = 90 degrees (given)
and a 50 degree angle (given)
`therefore` the remaining angle = 180 - (90+50)= 40 degrees (angles of a triangle always = 180)
There is an exterior angle adjacent to our 40 degree angle which therefore = 140 degrees( angles on a straight line = 180)
In the second triangle we have a right angle=90 degrees (given)
We have an angle named `2x` ( as yet unknown)
and another unknown angle which = 180- 140=40 degrees (angles on a straight line). It is on the same line as the previously proven 140 degrees above)
`therefore 2x= 180-(90+40)` (angles of a triangle =180 deg)
`therefore 2x=50 ` degrees
`therefore x= 50/2`
Posted by durbanville on March 23, 2013 at 8:12 PM (Answer #1)
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