the interior opposite angles of an exterior angle of a triangle are 20 and 70 . find the measure of the exterior
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Step-by-step explanation:
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}25
∘
+x=70
∘
x=70^{\circ}-25^{\circ}x=70
∘
−25
∘
x=45^{\circ}x=45
∘
Hence the measure of the other interior angle is 45°
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