13x - 21x - 7 = 63
- 8x = 70
x = - 8.75
We have to relate the angles of the trapezoid in order to find the measure of BAD.
Given:
Then
The angles are congruent because if AD and BC are congruent, and the lines are parallel, they sides will form the same angles.
Also, as the segment AD is "cut" by two parallel lines, the angles BAD and ADC are consecutive interior angles and are, therefore, supplementary.
Then, we can write:
Now, with the value of x, we can calculate the measure of BAD as:
Answer: the measure of BAD is 74°.
1: 8 faces and 9 with the base 9 vertices and 16 edges
2: 3 faces and 5 with the bases 6 vertices and 9 edges
3: 3 faces and 4 with the base 4 vertices and 6 edges
Y + -Y=0. 2X=34 Then divide both sides by the number next to "X." X=17 Then substitute X=17 into X+Y=21. Then you get 17 +Y=21. Y=21-17=4 Next check your answers by substituting into each equation above to see if both work and are true. 17+4=21
21=21
17-4=13
13=13
2x+40=3x-85
2x-3x+40=3x-3x-85
-x+40=-85
-x+40-40=-85-40
-x=-125
Multiply by -1 to get positive x and for -125
(-1)(-x)=(-125)(-1)
x=125
Check answer by using substitution method
2(125)+40=3(125)-85
250+40=375-85
290=290
Answer is x=125