Question

what is the value of h?
○ h = 20
○ h = 35
○ h = 55
○ h = 70

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(40 + 2h + 2h = 180\).

Step2: Simplify the equation

Combine like terms: \(40 + 4h = 180\).

Step3: Solve for h

Subtract 40: \(4h = 180 - 40 = 140\). Divide by 4: \(h = \frac{140}{4} = 35\).

Answer:

\(h = 35\) (corresponding to the option "h = 35")