1/2 of angle D is given as 32 degrees.
The 3 inside angles need to add up to 180 degrees.
Angle B is a right angle, which is 90.
Angle C = 180 - 90 - 32 = 58 degrees.
A. An obtuse angle is less than 180 but greater than 90. So for examples sake I will use 179 degrees. 179 divided by 2 (as the angles are congruent) = 89.5 which is less than a right angle. Therefore, the angles will be acute.
Hope it helps :)
1) 
2) 
is a right angle (perpendicular lines form right angles)
3) 
is a right triangle (definition of a right triangle)
4) 
and 
are complementary (the acute angles of a right triangle are complementary)
X=8
Set up proportions would give you: 10/3x+1 = 22/7x-1
With that in mind, cross multiply, which would give you: 10(7x-1) = 22(3x+1).
Turns into: 70x -10 = 66x+22. Then just solve for x
