An exterior angle of a triangle measures 110degree and its interior opposite angles are in ratio 2:3Find the angles of the triangle
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We know that the exterior angle is equal to the sum of the two interior opposite angles.
Let the two interior opposite angles be 2x and 3x.
So, 110°=2x°+3x°
110°=5x°
110°÷5=x°
22°=x°
The two interior opposite angles are 44° and 66°.
Therefore, the third angle is [180-(44+66)]
Third angle is equal to 70°.
Let the two interior opposite angles be 2x and 3x.
So, 110°=2x°+3x°
110°=5x°
110°÷5=x°
22°=x°
The two interior opposite angles are 44° and 66°.
Therefore, the third angle is [180-(44+66)]
Third angle is equal to 70°.
Answered by
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let the ratio be x
2x+3x =110
5x=110
x=110
5
x=22
HPE IT HELPS
2x+3x =110
5x=110
x=110
5
x=22
HPE IT HELPS
Anshdeep1212:
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