Question

Can anyone help me????

Answer 1

⇒The measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

`2a=(a+10)+44\\2a=a+54\\2a-a=54\\a=54`

⇒The exterior angle in this case NOTE IT IS 2a NOT a

⇒Therefore Exterior angle is =2(54°)

=108°

The answer is 108°

Answer 2

68°

Explanation:

We know that,

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

Accordingly,

44 + a + 10 = 2a

First, subtract a from both sides.

44 + 10 = 2a - a

34 = a

Now let us find the measure of the exterior angle.

2a

2 × 34

68°