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Mathematics

Perpendicular from Right Angle to Hypotenuse Divides the Triangle into Two Similar Triangles

The two inter...

Question

The two interior opposite angles of an exterior angle of a triangle are $60 °$ and $80 °$ . Find the measure of the exterior angle.

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Solution

By exterior angle property of triangle
Sum of two interior opposite angles=exterior angle
Let the exterior angle be $x °$
so, $x =$ $60 °$ $+$ $80$ $°$ $=$ $140 °$
Hence, value of exterior angle is $140 °$

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The two interior opposite angles of an exterior angle of a triangle are 60° and 80°. Find the measure of the exterior angle.

By exterior angle property of triangle Sum of two interior opposite angles=exterior angleLet the exterior angle be x°so, x=60°+80°=140°Hence, value of exterior angle is 140°

The two interior opposite angles of an exterior angle of a triangle are $60 °$ and $80 °$ . Find the measure of the exterior angle.

By exterior angle property of triangle
Sum of two interior opposite angles=exterior angle
Let the exterior angle be $x °$
so, $x =$ $60 °$ $+$ $80$ $°$ $=$ $140 °$
Hence, value of exterior angle is $140 °$