Question

in th given figure, PQ||RS, Angle QPT= 70° and angle QTS= 25° , Find angle TSO​

Answer 1

Answer:

45°

Step-by-step explanation:

Given : PQ||RS ; ANGLE QPT = 70° and ANGLE QTS = 25°

Now, ANGLE QPT = ANGLE POS = 70° { ALTERNATING ANGLES }

therefore, ANGLE SOT = 180° - ANGLE POS = 180° - 70° = 110° { ANGLE ON SAME LINE }

therefore , ANGLE TSO = 180°- ANGLE OTS - ANGLE SOT = 180° - 25° - 110° = 45° { ANGLES OF A TRIANGLE }