Question

find the angles marked by x and y in the givrn figure such that angle POQ=90° and rs is a straight line​

Answer 1

Answer:

X=35 degrees, Y = 55 degrees

Step-by-step explanation:

ROS is a straight line

angle ROT + angle SOT = 180 degree (linear pair)

75* + 3x = 180*

3x= 180*-75* = 105*

x = 105/3 = 35*

now,

x+90*+y = 180* (sum of angles on a straight line)

35*+90*+y=180*

y + 125* = 180*

y=180*-125*=55*

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Answer 2

Answer:

x = 35°

y = 55°

Step-by-step explanation:

3x + 75° = 180° (Sum of angles on a straight line is 180°)

3x = 180°-75° = 105°

x = 105°/3 = 35°

90° + x + y = 180° (Sum of angles on a straight line is 180°)

90° + 35° + y = 180°

y = 180° - 125°

y = 55°