find x in each of the following
please answer my question
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Given
∠ABC=x+10°
∠BAC=x
∠ACB=x-10°
Find
Value of x
Step by step explanation
- We have given three angles of a triangle and we have to find x.Recall property of triangle where all the sum of the angles in a triangle is 180°.So, we use this property here and we find the value of x.
∠ABC+∠BAC+∠ACB=180°
x+10°+x+x-10°=180°
=>3x=180°
=>X=180/3
X=60
∠ABC=x+10°=60+10°=70°
∠BAC=60°
∠ACB=x-10°=60°-10=50
∠ABC+∠BAC+∠ACB=180°
=>70°+60°+50°=180°
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❀ʀᴇǫᴜɪʀᴇᴅ ᴀɴsᴡᴇʀ:
∠ABC+∠BAC+∠ACB=180°
x+10°+x+x-10°=180°
=>3x=180°
=>X=180/3
X=60
∠ABC=x+10°=60+10°=70°
∠BAC=60°
∠ACB=x-10°=60°-10=50
∠ABC+∠BAC+∠ACB=180°
=>70°+60°+50°=180°
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