Answer:
45°
Solution,
<4= X+30
<2= 2x+15
Now,
[tex]x + 30 = 2x + 15[/tex]
( being corresponding angles)
[tex] x - 2x = 15 - 30 \\ or \: - x = - 15 \\ x = 15[/tex]
Replacing value,
[tex] < 4 = x + 30 \\ \: \: \: \: \: = 15 + 30 \\ \: \: \: \: \: = 45[/tex]
The measure of <4 is 45°
About corresponding angles:
Please see the attached picture.
There,
<a is an exterior and <d is an interior angle lying to the same side of transversal and they are not adjacent to each other. They are called corresponding angles. B and D are another pairs of corresponding angles.A pair of corresponding angle made by a transversal with parallel lines is always equal.
Hope this helps...
Good luck on your assignment...
