The two angles with ratio 3:10 are: 15° and 50°
Step-by-step explanation:
The sum ofinternal angles of a quadrilateral is 360 degrees.
We know that two angles are:
20 and 275 degrees
The ratio of other angles = 3:10
Let the two other angles be: 3x and 10x
Then
[tex]Sum of 4 angles = 360\\20+275+3x+10x = 360\\295+13x = 360\\13x = 360-295\\13x = 65[/tex]
Dividing both sides by 13
[tex]\frac{13x}{13} = \frac{65}{13}\\x = 5[/tex]
The angles are:
3x = 3*5 = 15°
10x = 10*5 =50°
So,
The two angles with ratio 3:10 are: 15° and 50°
Keywords: Quadrilateral, Angles
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