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An exterior angle of a triangleis of measure70 degree and one of its interior opposite angle is of measure 25 degree. Find the measure of the other interior opposite angle.

Answer:

The exterior angle of the triangle = 70o.

One of the interior opposite angle of the triangle = 25o.

As per the exterior angle property of a triangle we know that the sum of two interior opposite angles is equal the its exterior angle.

So the other interior opposite angle will be 70 - 25 = 45o.

Ans:45o

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by exterior angle property of triangles

let the unknown angle be x

70=25+x

70-25=x

45=x

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  • 0

The value of x -

750+x = 1800 ( linear pair )

= x = 1800 - 750

= x = 1050

One more opposite side -

250 + 1050+ y = 1800 ( Angle sum property of a triangle )

= y = 1800 - 1300

= y = 500

So the another opposite angle is 500

PLZ THUMBS UP !

  • 0

The value of x -

750+x = 1800 ( linear pair )

= x = 1800 - 750

= x = 1050

One more opposite side -

250 + 1050+ y = 1800 ( Angle sum property of a triangle )

= y = 1800 - 1300

= y = 500

So the another opposite angle is 500

PLZ THUMBS UP !

  • 0

The value of x -

750+x = 1800 ( linear pair )

= x = 1800 - 750

= x = 1050

One more opposite side -

250 + 1050+ y = 1800 ( Angle sum property of a triangle )

= y = 1800 - 1300

= y = 500

So the another opposite angle is 500

PLZ THUMBS UP !

  • 0
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