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

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

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

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

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.

$\frac{220}{4}=h$

$55=h$

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