The measurement of angles are: 20°, 60° and 100°
Step-by-step explanation:
Let x be the first angle
Then according to the ratio
1:3:5
The angles will be x,3x,5x
We know that the sum of interior angles of a triangle is 180 degrees
So,
[tex]x+3x+5x = 180\\9x = 180[/tex]
Dividing both sides by 9
[tex]\frac{9x}{9} = \frac{180}{9}\\x = 20[/tex]
The angles are:
First angle = x = 20°
Second angle = 3x = 3*20 = 60°
Third angle = 5x = 5*20 = 100°
Hence,
The measurement of angles are: 20°, 60° and 100°
Keywords: Sum of angles, triangles
Learn more about triangles at:
- brainly.com/question/1329620
- brainly.com/question/1322653
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