Answer:
The value of h is 55. Therefore the correct option is 3.
Step-by-step explanation:
In the given triangle the measure of two exterior angles are 2h°.
The interior angle of one of those exterior angles
[tex]\text{Interior angle}=180-\text{Exterior angle}[/tex]
[tex]\text{Interior angle}=180-2h[/tex]
The sum of two interior angles of a triangle is equal to the opposite exterior angle.
[tex](180-2h)+40=2h[/tex]
[tex]220-2h=2h[/tex]
Add 2h on both the sides.
[tex]220=2h+2h[/tex]
[tex]220=4h[/tex]
Divide both sides by 4.
[tex]\frac{220}{4}=h[/tex]
[tex]55=h[/tex]
The value of h is 55. Therefore the correct option is 3.
