Question

find the value of the unknown X in the following diagram​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

(i) In ∆ABC,

x+50°+60°=180°

=>x+110°=180°

=>x=180°-110°=70°

therefore X=70°

(ii)In∆PQR,

90°+30°+x=180°

=>120°+x=180°

=>x=180°-120°=60°

therefore,X=60°

(iii)in ∆XYZ,

30°+110°+x=180°

=>140°+x=180°

=>x=180°-140°=40°

Therefore, X=40°

(iv)In the given triangle

=>50°+x+x=180°

=>50°+2x=180°

=>2x=180°-50°

=>2x=130°

=>x=130°/2=65°

therefore , X=65°

(v)in the given triangle

x+x+x=180°

=>3x=180°

=>x=180°/3

=>x=60°

therefore,X=60°

(vi)in the given triangle

=>x+2x+90°=180°

=>3x+90°=180°

=>3x=180°-90°

=>3x=90°

=>x=90°/3

=>x=30°

Therefore,X=30°

Used concept:-

The sum of all the three angles is equal to 180°