one side of triangle is produced and the exterior opposite angle be in ratio 3:5 find the measures of each angle of triangle.
please answer me first
Answers
Answered by
3
Answer:
have the property that, in a triangle exterior angle is equal to the sum of interior opposite angles.
Given, the interior opposite angles to the exterior angle 105
∘
are in the ration 2:5
∴2x+5x=105
o
7x=105
o
⟹x=15
o
Therefore the interior opposite angles to the angle 105
o
are 2x=2(15)=30
o
and 5x=5(15)=75
o
Let the third angle of the triangle be C
We have the sum of interior angles of a triangle is 180
o
∴30
o
+75
o
+C=180
o
C=180
o
−75
o
−30
o
=180
o
−105
o
C=75
o
Hence, the angles are 30
o
,75
o
,75
o
.
Similar questions