Find the value of x in each figure. explanation too if you can

8.

<ABD s a right angle. Its measure is 90.
Angles ABC and CBD are complementary angles. Their measures add to 90.

2x - 1 + 33 = 90

2x + 32 = 90

2x = 58

x = 29

9.

Triangle XYZ is a right triangle.
The sum of the measures of the angles of any triangle is 180.
Angle Y is a right angle, so it measures 90 degrees.
180 - 90 = 90, so the sum of the measures of angles X and Z is 90.

3x + 11 + 25 = 90

3x + 36 = 90

3x = 54

x = 18

10.

Angles GJH and FJI are vertical angles.
Vertical angles are congruent. they have the same measure.

5x + 12 = 6x - 10

-x = -22

x = 22

11.

Angles LNK and LNM form a linear pair. They are supplementary angles.
Their measures add up to 180 deg.

45 + 3x = 180

3x = 135

x = 45