ABDH and CEFG are two parallelogram . Find value of x .
Answers
Answer:
property of parallelogram
1.opposite angles are congruent
2.consecutive angles are 180°
so from following properties we have
angle a+b=180°
a+130°=180°
a=50°
so d is also 50°
as f=30°
c=30° c is also 30°
as we know the sum of angles in a triangle is 180°
so C+D+X= 180°
30+50+X=180°
80+X=180°
X=100°
Step-by-step explanation:
In llgm ABDH,
∠D = ∠BAH = 180-130(adjacent angles)
⟹In llgm CEFG,
∠C = ∠GCE = ∠GFE = 30(opposite angles)
⟹Hence, in ∆CDX,
∠C + ∠D + ∠x = 180
30 + 130 + ∠x = 180
∠x = 180-160 = 20
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