the measure of angles of a traingle are 4xdegree, (3x+13)degree and (x+7)degree,find all the three angles of the traingle.
Answers
Answered by
7
Given that 4x,3x+13 and x+7 are the angles of a triangles
By Angle Sum Property of a Triangle,
4x+(3x+13)+(x+7)=180
→8x+20=180
→8x=160
→x=20
Now,
4x=4(20)=80
3x+13=3(20)+13=73
x+7=20+7=27
Hence,80,73 and 27 are the three angles of the triangle
Answered by
10
Step-by-step explanation:
Hi,
First angle = 4x°
Second angle = (3x + 13 )°
And,
Third angle = ( x +7)°
We know that,
Sum of all angles of a triangle = 180°
4x + 3x + 13 + x + 7 = 180
8x + 20 = 180
8x = 180 - 20
8x = 160
x = 20°
Therefore,
First angle = 4x = 80°
Second angle = ( 3x + 13)° = (3*20+13) = 73°
And,
Third angle = x + 7 = 20 + 7 = 27°
Hope it will help you :)
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