Math, asked by Rishita2003, 1 year ago

An exterior angle of a triangle is of measure 70 degree and one of its interior opposite angles is of measure 25 degree. Find the measure of the other interior angle.


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Answers

Answered by Debapratim
138
Hope the work will be enough for you anothe opposite interior angle willbe 45 degree and the adjacent angle with the exterior angle will be 110 degrees
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Answered by wifilethbridge
170

Answer:

The measure of the other interior angle is 45°

Step-by-step explanation:

Given : Exterior angle of triangle is 70°

           One of its interior opposite angles is 25°

To Find :Find the measure of the other interior angle.

Solution:

Let the measure of the other interior angle be x .

Exterior angle property of triangle : The sum of measures of two opposite interior angles of triangles is equal the measure of exterior angle.

So, 25^{\circ}+x=70^{\circ}

x=70^{\circ}-25^{\circ}

x=45^{\circ}

Hence the measure of the other interior angle is 45°

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