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Example Question #11 : Geometry
Assume l and m are parallel horizontal lines where l is above m. A third straight line k intersects both lines l and m, creating a total of 4 different angles on each of the two intersections. The intersections of lines l and m contain angles a, b, c, d and w, x, y, z, respectively. The angle layouts start with a and w in the top left position with the other angles following in alphabetical order in the clockwise direction. What is the degree value of angle z if angle c has a value of 67 degrees?
degrees
degrees
degrees
degrees
degrees
degrees
The purpose of this question is to understand the process of using geometry to find degree values of angles.
Since l and m are parallel lines, the respective angles on both lines will have equivalent degree values. This means that a and w, b and x, and so on will be the same degree amount. A straight line is 180 degrees, so you know that angle d is degrees; and therefore angle z, which has the same value, is also 113 degrees.
Example Question #12 : Plane Geometry
Angle measures
is the bisector of
is the bisector of
What is the measure of ?
Let's begin by observing the larger angle. is cut into two 10-degree angles by . This means that angles and equal 10 degrees. Next, we are told that bisects , which creates two 5-degree angles. consists of , which is 10 degrees, and , which is 5 degrees. We need to add the two angles together to solve the problem.
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