Answer:
44
Step-by-step explanation:
The two base angles cannot both be 92 degrees because they would add up to 184 which is more degrees than any triangle has. The apex angle (the top angle) therefore has 92 degrees.
The base angles are equal and found as follows.
2*b + 92 = 180 Subtract 92 from both sides
2b +92-92 = 180-92
2b = 88 divide by 2
2b/2=88/2
b = 44
The only angle measurement that fits is 44
Answer:
20°
Step-by-step explanation:
C70° vertically opposite... the alternate then vertically opposite again then 90° - 70° = 20°
Answer:
3
Step-by-step explanation:
3
Answer:
Measure of CD = 17 units
Step-by-step explanation:
Perimeter of a polygon = Sum of measures of all sides of the polygon
Perimeter of the given rectangle = 2(length + width)
= 2[(x + 3) + (2x - 1)]
= 2(3x + 2) units
Perimeter of triangle EFG = EF + FG + GE
= (x - 7) + (4x - 8) + (3x + 1)
= (8x - 14)
= 2(4x - 7) units
Since, perimeters of both the figures are equal,
2(3x + 2) = 2(4x - 7)
3x + 2 = 4x - 7
4x - 3x = 7 + 2
x = 9
Measure of CD = (2x - 1)
= 2(9) - 1
= 17 units
