i need help on math problems(angles)?

Question

Theres angle A then there is (2b) another angle is 60 and the bottom one is (3c) tha angles are on an X shape

like this

.........A
(2B)X 60
.......(3C)

The question is Find A B C and the answers are

a= 120 b=30 c=40

i dk how to get that can someone tell me plz

Answer 1

The angles are formed by intersecting lines. When two lines intersect, the pairs of angles opposite each other are equal. And adjacent pairs of angles are supplementary (add up to 180 degrees).

Since 2B is opposite 60:

2B = 60
B = 30

Since A is adjacent to 60:

A + 60 = 180
A = 120

Since 3C is opposite A (and we already have figured out A):

3C = A
3C = 120
C = 40

Answer 2

The key to this problem is the shape of the object and the properties of that shape.

An X shaped figure has two properties:

1. Any two consecutive angles must add or to 180 degree, i.e. they are supplementary.
In your example, A & 2B must add up to 180 degrees and you can see this since A = 120 & 2B = 60. You can also check it with 2B & 3C, 3C & 60 and a & 60.

2. The opposite angles in such a figure are always equal.
In your example, A & 3C must be equal. This is true since A = 120 is opposite to 3C =120. You can also check it with 2B & 60.

Hope this helps!

Answer 3

use a protrator to measure the angle of each section if you have a section that is like an L that is 90 or a V would be 45
so an X would be top = 45 left = 135 bottom = 45 and right = 135. that should help you find your answer

but looking at your answers there wrong because any X no matter wher the line cross would need to equal 360
you X only equals 250 and thats not possible unless you have more lines coming from the X