We know: the sum of the angles measures in a triangle is 180°.
Therefore we have the equation:
64° + 75° + α = 180°
139° + α = 180° <em> subtract 139° from both sides</em>
α = 41°
α and ∠2 are Supplementary Angles - they add up to 180°.
α + m∠2 = 180°
41° + m∠2 = 180° <em>subtract 41° from both sides</em>
<h3>m∠2 = 139°</h3>
<u>Given</u>:
The given equation is
We need to determine the approximate value of q.
<u>Value of q:</u>
To determine the value of q, let us solve the equation for q.
Hence, Subtracting on both sides of the equation, we get;
Subtracting both sides of the equation by 2q, we have;
Dividing both sides of the equation by -1, we have;
Now, substituting the value of , we have;
Subtracting the values, we get;
Thus, the approximate value of q is 0.585
Hence, Option C is the correct answer.
