Question

What is the value of h?

h = 20
h = 35
h = 55
h = 70

Answer 1

The interior angles next to the 2h angles are congruent and each one measures 70 degrees. Since the interior angle is 70 degrees the exterior angle is 110 degrees.
2h = 110
divide both sides by 2
h = 55

Answer 2

The value of h is 55. Therefore the correct option is 3.

Explanation:

In the given triangle the measure of two exterior angles are 2h°.

The interior angle of one of those exterior angles

`\text{Interior angle}=180-\text{Exterior angle}`

`\text{Interior angle}=180-2h`

The sum of two interior angles of a triangle is equal to the opposite exterior angle.

`(180-2h)+40=2h`

`220-2h=2h`

Add 2h on both the sides.

`220=2h+2h`

`220=4h`

Divide both sides by 4.

`(220)/(4)=h`

`55=h`

The value of h is 55. Therefore the correct option is 3.