One math question please help!!?

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! =)

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

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

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.

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

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.

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.

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