Answer:
B = 90
C = 44
D = 46
Step-by-step explanation:
a right angle means that it is 90 degrees, and the combination of all angles must be 180 degrees. This means that angles D and C must equal 90. If you add together the equations assuming the answer is 90, you can solve for x.
(5x - 29) + (2x + 14) = 90
7x - 29 + 14 = 90
7x - 15 = 90
7x = 105
(7x = 105) ÷ 7
x = 15
When you get the value for x you can then plug it into the individual equations to find the degree of the angle
5(15) - 29
75 - 29 = 46
Angle D = 46
2(15) + 14
30 + 14 = 44
Angle C = 44
To check your answer you can add all of the angles together and if they equal 180 then your answer is correct
44 + 46 + 90
90 + 90 = 180
