Question

1

2
D
3
In the diagram above, Z4 = x+30 and
L2= 2x+15. Find the measure of Z4.
24 = [?]°

Answer 1

45°

Solution,

<4= X+30

<2= 2x+15

Now,

`x + 30 = 2x + 15`

( being corresponding angles)

`x - 2x = 15 - 30 \\ or \: - x = - 15 \\ x = 15`

Replacing value,

`< 4 = x + 30 \\ \: \: \: \: \: = 15 + 30 \\ \: \: \: \: \: = 45`

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...