in the given figure ab is parallel to dc and BC is parallel to CD find the values of X y and z
Answers
Answer:
in parallelogram has same angle each side means triangle
ABC=BAD MEANS BAD=110 DONE
NOW ANY SQUARE HAS ALL ANGLE TOTAL 360 MEANS 2 ANGLE HAS 180 SO NOW DO B+C=180
110+X=180
=X=180-110
=X=70
ITS DONE NOW X=70 NOW ANGLE Y =X-180
=180-70=110
Y=110
AND RULE IS ANY PARALLELOGRAM HAS SAME OPPOSITE ANGLE MEANS X=Z Z=70
YOUR SOME DONE
Answer :
- x = 70°
- y = 110°
- z = 110°
Step-by-step explanation :
In the given figure AB is parallel to DC and BC is parallel to CD
As we know that opposite angles of Parallelogram are equal.
∠A = ∠C
∠B = ∠D
In the given figure,
∠B = 110°
∠D = z° = 110°
Also, sum of all the angles of the parallelogram is 360°
∠A + ∠B + ∠C + ∠D = 360°
∠C = ∠A = x
→ x + 110 + x + 110 = 360
→ 2x + 220 = 360
→ 2x = 360 -220
→ 2x = 140
→ x = 140/7
→ x = 70°
Now,
∠BCD + ∠ECD = 180°
→ x + y = 180°
→ 70 + y = 180
→ y = 180 - 70
→ y = 110°
Hence,
- value of x = 70°
- value of y= 110°
- value of z = 110°