Math, asked by sumit16151, 8 months ago

find the value of x​

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Answers

Answered by saketsingh9305
0

Answer:

in this equation X will be 128°

I hope that the answer is right

Answered by sahilchimanbhai
0

Step-by-step explanation:

IN ∆ABC

∆B=40°

∆A=30°

BY ANGLE SUM PROPERTY OF TRIANGLE,WE GET

∆ABC+∆BAC+∆ACB=180°

40°+30°+∆ACB=180°

∆ACB=180°-70°

∆ACB=110°

OR,ECB=110°

NOW,BCD IS A STRAIGHT LINE.

SO, BCD=180°

∆ECD & ∆ECB ARE LINEAR PAIRS.

SO, ∆ECD+∆ECB=180°

THEREFORE,∆ECD+110°=180°

SO,∆ECD=180°-110°

∆ECD=70°

NOW,∆EDC=50°

BY ANGLE SUM PROPERTY OF TRIANGLE,WE GET

∆ECD+∆EDC+∆CED=180°

70°+50°+∆CED=180°

∆CED=180°-120°

∆CED=60°

NOW AEC IS A STRAIGHT LINE

SO, AEC=180°

∆AED & ∆CED ARE LINEAR PAIRS.

SO,∆AED+∆CED=180°

X+60°=180°

X=180°-60°

X=120°

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