Answer:first angle = 25 degrees
Second angle = 35 degrees
Third side = 120/degrees
Step-by-step explanation:
Let the size of the second angle be x degrees.
One angle of a triangle measures 10 degrees more than the second. This means that the size of the first angle is ( x+ 10 )degrees.
The measure of the third angle is
twice the sum of the measures of the first two angles. This means that
The third angle = 2( first angle + second angle). So the size of each angle is
First angle (x + 10) degrees
Second angle = x degrees
Third angle = 2(x + 10 + x) =
(4x + 20) degrees
Sum of angles in a triangle = 180
degrees. Therefore,
x + 10 + x + 4x + 20 = 180 degrees
6x + 30 = 180
6x = 180 - 30 = 150
x = 150/6 = 25 degrees
First angle = x + 10 = 25 +10 = 35
Third angle = 4x + 20 = 4 × 25 + 20
= 100+ 20 = 120 degrees
