Question

If RO is prependicular to PT, Fine its measure of angles 1 and 2 in the given figure below.
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Answer 1

Answer:

Since, RO is perpendicular to PT ,

∠ROT=90° , ∠ROP=90°

∠ROT=∠ROS + ∠SOT

90°= 67° + ∠2

90°-67° = ∠2

23°=∠2

Similarly

∠ROP= ∠ROQ + ∠QOP

90°=∠1 + 52°

90°-52=∠1

38°=∠1

therefore, ∠1=38° and ∠2 =23°