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What is the value of the greatest angle in the above figure? 85o 8
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05 Feb 2025, 01:31
05 Feb 2025, 01:31
Expert Reply
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What is the value of the greatest angle in the above figure?
A. 85°
B. 87°
C. 89°
D. 91°
E. 99°
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Re: What is the value of the greatest angle in the above figure? 85o 8
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07 Feb 2025, 09:26
07 Feb 2025, 09:26
1
The sum of the angles of any triangle is 180
We can set up the equation A+B+C = (x) + (2x) + (x+2) = 180 to find that x = 44.5
A = x = 44.5
B = 2x = 89
C = x + 2 = 46.5
The biggest angle's value is 89
We can set up the equation A+B+C = (x) + (2x) + (x+2) = 180 to find that x = 44.5
A = x = 44.5
B = 2x = 89
C = x + 2 = 46.5
The biggest angle's value is 89
Re: What is the value of the greatest angle in the above figure? 85o 8
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06 Mar 2025, 11:20
06 Mar 2025, 11:20
Expert Reply
The sum of the angles of a triangle is 180 degrees, so in triangle $\(A B C\)$, we get $\(\angle A+\angle B+\angle C=180^{\circ}\)$ i.e. $\(x+2 x+(x+2)=180^{\circ} \Rightarrow x=\frac{178}{4}=44.5^{\circ}\)$
Using the value of x , the greatest angle triangle \(ABC\) is $\(2 \mathrm{x}=2 \times 44.5=89^{\circ}\)$
Hence the answer is (C).
Using the value of x , the greatest angle triangle \(ABC\) is $\(2 \mathrm{x}=2 \times 44.5=89^{\circ}\)$
Hence the answer is (C).
