Question

architecture in an a-frame house, the roof extends to the ground level. if each side of the roof meets the ground at a 66° angle, what will be the measure of the angle where the two sides of the roof meet? the angle measure will be ______°. x + 66 + 66 = 180

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). Let the unknown angle be \(x\).

Step2: Set up the equation

We know two angles are \(66^\circ\) each. So, \(x + 66^\circ+ 66^\circ = 180^\circ\).

Step3: Solve for \(x\)

Simplify the equation: \(x + 132^\circ = 180^\circ\). Subtract \(132^\circ\) from both sides: \(x = 180^\circ - 132^\circ = 48^\circ\). Wait, the handwritten answer was 98, but let's re - check. Wait, maybe a miscalculation. Wait, \(66 + 66=132\), \(180 - 132 = 48\). But the handwritten answer is wrong. Wait, maybe the problem is about an isosceles triangle (A - frame roof, so two equal angles at the base). So the correct calculation is \(180-(66 + 66)=180 - 132 = 48\). But the handwritten answer was 98, which is incorrect. But following the correct steps:

Answer:

\(48\)