Question

what is the value of h?
$h = 20$
$h = 35$
$h = 55$
$h = 70$
$(2h)^{circ}$
$(2h)^{circ}$

Explanation:

Step1: Use the exterior angle sum property

The sum of exterior angles of a triangle is \(360^{\circ}\). But here, we can also use the property that the sum of the exterior angles related to the triangle (the non - adjacent exterior angles). If we consider the linear pairs and the triangle angle - sum property (alternatively, using the exterior angle sum concept for the angles given). The sum of the given angles: \(2h + 2h+40= 180\) (since the sum of angles on a straight line for the non - overlapping part of the exterior angles related to the triangle).

Step2: Solve the equation

Combine like terms: \(4h+40 = 180\).
Subtract 40 from both sides: \(4h=180 - 40\), so \(4h = 140\).
Divide both sides by 4: \(h=\frac{140}{4}=35\).

Answer:

\(h = 35\)