Question

what is the value of h?
○ h = 20
○ h = 35
○ h = 55
○ h = 70
(there is a triangle with one angle 40° and two other angles (2h)° each, and there are arrows indicating lines related to the triangle.)

Explanation:

Step1: Identify angle sum rule

The figure forms a triangle with angles $2h^\circ$, $2h^\circ$, and $40^\circ$. The sum of angles in a triangle is $180^\circ$.

Step2: Set up equation

$2h + 2h + 40 = 180$

Step3: Solve for h

Combine like terms: $4h + 40 = 180$
Subtract 40: $4h = 140$
Divide by 4: $h = 35$

Answer:

B. h = 35