Question

find angle GHI. pls explain it​

Answer 1

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Answer:

∠GHI=145°

Step-by-step explanation:  

CONSTRUCTION: Extend ray IJ upwards such that it is parallel to ray GH  upto point L such that the extended ray intersects line AB at point K.

SOLUTION:

∠FGI=∠AKI=75°    (Alternate interior angles are equal)

∠AKI=∠LKH=75°    (Corresponding angles are equal) ----(1)

∠AHI=∠HID=40°    (Alternate interior angles are equal)

∠GHA+∠LKH=180°   (Co-interior angles have a sum of 180)

∠GHA+75°=180°

∠GHA=180°-75°

∠GHA=105°   ----(2)

Now,

∠GHI=∠GHA+∠AHI

∠GHI=105°+40°

∠GHI=145°

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Answer 2

It is easy When 1 is 75 degrees I is 105 degrees because the line is 180 degrees.

So when 2 is 40 H is 40 by upper transversal property.

When I is 105 it side angle is 75 degrees then vertically opposite angles then upper angle of H is 75 then it's beside is 105.

Therefore 105+40 = 145 degrees.

See image it helps you.

Hope it helps you.