Question

IN A triangle, the measure of the first Angle is twice the measure of the second Angle. The measure of third Angle is 8 degree less than the the measure of the second angle If the sum of the measures of the three angle is 180° what is the measure of each angle​

Answer 1

Answer:

See below for answers

Step-by-step explanation:

1st angle = 2x

2nd angle = x

3rd angle = x - 8

Sum of the angles in a triangle = 180°

1st + 2nd + 3rd = 180°

2x + x + x - 8 = 180°

4x - 8 = 180°

4x = 188

 x = 47°

Now substitute

1st angle = 2x = 2(47) = 94°

2nd angle = x = 47°

3rd angle = x - 8 = 47 - 8 = 39

Check: 94 + 47 + 39 = 180°