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solve for the value of q. (q - 3)° 46° answer attempt 1 out of 2 q =

Question

solve for the value of q. (q - 3)° 46° answer attempt 1 out of 2 q =

Explanation:

Step1: Identify angle - sum relationship

The sum of the angles around the intersection point is 180°. The right - angle is 90° and one angle is 46°, and the other is (q - 3)°. So, 90°+46°+(q - 3)°=180°.

Step2: Simplify the left - hand side

First, combine the constant terms: 90 + 46-3+q=180. Which simplifies to 133 + q=180.

Step3: Solve for q

Subtract 133 from both sides of the equation: q=180 - 133.

Answer:

q = 47