Question

Find the value of x in each case. Give reasons to justify your solutions!
H∈ IG

Answer 1

Given, <JHI = 156°

we have know that,

<JHI + <JHG = 180°

=> 156° + <JHG = 180°

=> <JHG = 24°

_ _

Here, HG and EG are parallel to each other and HG is the intersection between them .

So, <JHG = <FGH

=> <FGH = 24° .

we have,

<EFH + <GFH = 180°

=> 2x + <GFH = 180°

=> <GFH = (180° - 2x)

Also, In ∆HGF:-

x° + (180 - 2x)° + <FGH = 180°

=> <FGH = 180° - 180° + x°

=> <FGH = <x

=> <x = 24° .

Hence,

<JHI = 156°, <JHG = 24°, <EFH =48°,

<GHF = 24°,<HGF =24°,<GFH=132° .

Hope it helps to you.

Please mark as Brainliest answer.

(^_^)(^o^)(^・^)(^_-)