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Vera_Pavlovna [14]
3 years ago
13

In triangle ABC, angle A = 2x°, angle B = (x-45)° and angle C = (x-15)°.

Mathematics
1 answer:
Lelechka [254]3 years ago
5 0
Sum\ of\ angles\ in\ triangle\ is\ equal\ to\ 180^{\circ}\\\\
To\ find\ x\ sum\ all\ angles:\\
2x+x-45+x-15=180\\\\
4x-60=180\ \ \ |Add\ 60\\\\
4x=60+180\\\\
4x=240\ \ \ |Divided\ by\ 4\\\\
x=60^{\circ}\\\\
\angle \  A=2x=2*60=120^{\circ}\\
\angle\ B=x-45=60-45=15^{\circ}\\
\angle\ C=x-15=60-15=45^{\circ}\\\\Triangle\ is\ \textbf{obtuse}.
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Answer:

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Step-by-step explanation:

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Result is 4 more than one quarter of the number:

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Multiply both sides by 12:

\frac{6+x}{3}\cdot \:12=4\cdot \:12+\frac{1}{4}x\cdot \:12

Simplify:

4\left(x+6\right)=48+3x

Expand:

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4x=3x+24

Subtract 3x from both sides:

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The number is 24.

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