One math question please help!!?

Question

Could someone please help me with this one math question please?? Describe a process for finding the measure of angle 2. here is a picture of what I'm looking at..

http://i24.tinypic.com/33vhukh.jpg

Answer 1

Since lines b and c are parallel and cut by a transversal (line a), we know that the 60 degree angle and angle 4 are corresponding angles, so they have equal measure. So for the triangle that includes angle 4, angle 5 and angle 3 (which is 90 degrees since it is the vertical angle with the right angle), we can conclude that angle 5 must equal 30 degrees, since 90 + 60 + 30 = 180.

Angle 5 and angle 2 form a straight line, so their combined measures must equal 180 degrees. So that means angle 2 must be 180-30, or 150 degrees.

Hope that made sense! =)

Answer 2

Well I may Be wrong but i think that:

Beacuse Opposite angles are the same the angle opposite the angle labeled 60 is also 60 which means you can work out angle 1 because all angles in a triangle = 180 so you would do 60+90=150 then 180-150 is 30 so angle 1 is 30 degrees, then use the angles on a straight line = 180 to show that the angle on the other side of line b is 150 and beacuse lines b and c are parallel they cross line d at the same angle meaning the angle ive just worked out and angle 2 are the same

really hope this dosen't confuse you but like i said im not sure =) good luck hun xxx

Answer 3

Well I have not done Trig in a long time but i'll try to help.

We know that angle formed by lines a and b is 60 degrees. So the opposite angle (inside the triangle) formed by lines a and b is also 60 degrees. Angle 3 is a right angle, its opposite angle is also 90 degrees. Since the sum of all angles within a triangle must equal 180 degrees we can then find the measurement of angle 1.

180 - 90 - 60 = 30 degrees - Angle 1 is 30 degrees

Angles 1 and 2 are opposite interior angles between parallel lines b and c, which means that if you add them together they should equal 180 degrees. So now we can find the measurement of angle 2.

180 - 30 (angle 1) = 150 degrees - Angle 2 is 150 degrees

Answer 4

By the right angle you know angle 3 is 90 degrees.

since b and c are parallel lines and line a is a transversal you know that 4 is 60 degrees.

Angle 5 must be 30 on sum of angles of triangle is 180 degrees

if 5 is 30 degrees angle 2 is 150 degrees.

This is one path to find the answer. Their are other properties that we could use.

Answer 5

1) The angle that measures 60 degrees is correspondent to angle 4 because line b and line c are parralel. Angle 4 = 60 Degrees

2) The sum of angle 3 and angle 4 equals the sum of angle 2
Because the sum Two interior angles of a triangle equals the exterior angle
. so,...Angle 3 + Angle 4 = Angle 2
90 degrees + 60 degrees = 150 degrees

Angle 2 = 150 degrees

Answer 6

angle 4 = 60 degrees because corresponding angles are equal
angle 5 = 90-60 = 30 degrees because the acute angles of a right triangle are complementary
angle 2 = 180 - 30 = 150 degrees because it is supplementary to angle 5.

By the way, the writeup states that angles 1 and 2 are alternate interior angles. This is false. The are interior angles on the same side of the transversal and are supplementary to each other.

Answer 7

You must use the triangle properties.

See: the angle opposite of the 60 in relation of y axis is 60. Them you have a triangle rectangle (1, 60, 3) with 60 degree is one angle, them the other must be 30 because the sum of the three angle in a rectangle must be 180, so the angle 1 must be 30.
Now note that the sum of the angle 1 and the other part (left part) must sum 180, them, the right part of the angle 1 must be 180 -30 = 150. This angle is the same of the angle 2, them the angle 2 must be 150.

Answer 8

since the angle at 4 is the same as 60 and 3 is 90
5 would be 30
as 5 and 2 are on a straight line, 2 would have to be 150