Answer:
The three angles of the triangle are 69°, 23° and 88°
Step-by-step explanation:
Assume that the measure of the second angle of the triangle is x
We are given that:
The measure of the first angle is three times the measure of the second one. This means that the first angle is 3x
The measure of the third angle is 65° more than the second angle. This means that the third angle is x + 65
Now, we know that the sum of the angles of a triangle is 180°
Therefore:
3x + x + x + 65 = 180
5x + 65 = 180
5x = 180 - 65
5x = 115
x = 23
Finally, we get the measures:
The first angle = 3x = 3(23) = 69°
The second angle = x = 23°
The third angle = x + 65 = 23 + 65 = 88°
Hope this helps :)