Question

17. In the fig., AB || CD. Find the value of x.
E
D
D
В.
M
G
70
E
L
850
H) 115°
F
N
A
с

Answer 1

Answer:

<X=20*

Step-by-step explanation:

Here, <EGH=85*(Corresponding angle with <Lef)

Now, <EGH+<MGH=180*(Linear pair)

or, 85*+<MGH=180*

or, <MGH=180*-85*

0r, <MGH=95*

Similarly, <CHM+<DHM=180*(Linear pair)

or,,,115*+<DHM=180*

0r, <DHM=180*-115*

0r, <DHM=65*

So, <DHM+<MGH+<GMH=180*(Angle sum property of a triangle )

0r, 65*+95*+X=180*

0r, 160*+X=180*

0r, X=180*-160*

0r, X= 20*

Hence, <GMH or <X=20*

Hope it helps. ..........

Answer 2

Answer:

20° is the ans.,x=20°,

hope it helps you