\(\textbf{1)}\) Solve for \(x\).
The answer is \(x=70^{\circ} \)
\(\,\,\,\,\,\,x+70+40=180\)
\(\,\,\,\,\,\,x+110=180\)
\(\,\,\,\,\,\,\)The answer is \(x=70^{\circ} \)
\(\textbf{2)}\) Solve for \(x\).
The answer is \(x=50^{\circ} \)
\(\,\,\,\,\,\,(x-10)+(2x+5)+35=180\)
\(\,\,\,\,\,\,x-10+2x+5+35=180\)
\(\,\,\,\,\,\,3x+30=180\)
\(\,\,\,\,\,\,3x=150\)
\(\,\,\,\,\,\,\)The answer is \(x=50^{\circ} \)
\(\textbf{3)}\) If \(a=80\) and \(c=65\). What is \(b\)?
The answer is \(b=35^{\circ} \)
\(\textbf{4)}\) If a=30, what is b+c+d+e?
The answer is \( 300^{\circ} \)
\(\textbf{5)}\) What is b in terms of c and a?
The answer is \( b=180-a-c \)
\(\textbf{6)}\) The measures of the angles in a triangle are in the ratio of \(1:2:3\). What is the measure of each angle?
The angles are \(30^{\circ}, 60^{\circ}, 90^{\circ} \)
\(\,\,\,\,\,\,\text{The 3 angles are 1x,2x and 3x.}\)
\(\,\,\,\,\,\,1x+2x+3x=180\)
\(\,\,\,\,\,\,6x=180\)
\(\,\,\,\,\,\,x=30\)
\(\,\,\,\,\,\,\)The angles are \(30^{\circ}, 60^{\circ}, 90^{\circ} \)
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