4. If the measures of angles A and B of triangle
ABC are each 2x + 5 and the measure of angle
C is 3x – 5, what is the measure of angle exterior
to angle A?​

Respuesta :

Answer:

5x

Step-by-step explanation:

. If the measures of angles A and B of triangle

ABC are each 2x + 5 and the measure of angle

C is 3x – 5, what is the measure of angle exterior

to angle A?​

Using the theorem

The sum of interior angle of a triangle is equal to its exterior

Given the interior angles 2x+5 and 3x-5

Sum= 2x+5+3x-5

Sum = 2x+3x+5-5

Sum = 5x+0

Sum = 5x

Hence the measure of the exterior angle is 5x