Answer:
<h2>Given:</h2>A ∆ with an exterior angle :116° & two interior angles 7x+6 & 4x
<h2>To find :</h2>The value of angle 7x+6
<h2>Solution:</h2>we know that ,
The measure of an <em><u>exterior angle</u></em> of a triangle is <em>equal to</em> the <em>sum of</em> the measures of the <em><u>two non adjacent interior angles</u></em> of the triangle.
so,
so ,the measure of green angle would be
To verify our answer ,the sum of the resultant value of green angle and 4x should be 116°(the exterior opposite angle)
so,