(b) If RO is perpendicular to PT, find the measure of angles 1 and 2 in the figure below:
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In the figure we can see that ∠ POR and ∠ ROT are right angles.
Thus, ∠ ROS + ∠ 2 = 90°
∠ ROS - 67°
So, ∠ 2 = 90° - 67°
= 23°
Also, ∠POQ + ∠ 1 = 90°
∠ POQ = 52°
So, ∠ 1 = 90° - 52°
= 38°
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