Answer:
the angle in ascending order is 24°, 36° and 120°
Step-by-step explanation:
The largest angle of a triangle is 5 times as large as the smallest angle
The third angle is 12 degrees more than the smallest angle.
let the smallest angle be x
the largest angle is 5x
the third angle is (12+x)
the sum of angles in a triangle is 180°
x + 5x + (12+x) = 180
x+5x+ 12+x = 180
7x+12 = 180
7x = 180 -12= 168
x = 168/7 = 24°
the smallest angle is 24°
the largest angle is 5x= 5 x 24 = 120°
the third angle is 12 +x = 12+24 = 36°
The measure of the three angles are 24, 36 and 120 degrees.
A triangle is a polygon with three side. All angles measure up to 180 degrees.
Let:
x + 5x + x + 12 = 180
7x + 12 = 180
7x = 180 - 12
7x = 168
x = 24
Largest angle = 24 x 5 = 120
Third angle = 24 + 12 = 36
To learn more about triangles, please check: https://brainly.com/question/22949981
