Question

I. want all answer with methid

Answer 1

Answer: 84 °

Step-by-step explanation:

In a figure OP and OQ are opposite rays

x = 32 °

∠POR = 3x

so , putting the value of x in below equation

∠POR = 3 × x

            = 3 × 32

           = 96 °

∠ROQ = y°

∠POQ  is a straight line . so, it is a linear pair

∠POQ = ∠POR + ∠ROQ

180° = 96 ° + ∠ROQ

180 °- 96 ° = ∠ROQ

84 ° = ∠ROQ

∠ROQ = y

Hence,  y =  ∠ROQ

              y = 84°

Answer 2

Answer:

Detailed below

Step-by-step explanation:

1.  Angle made by kite to two parallel lines is 90 degree

2. angle rotated =85 degree

for full rotation angle =360 degree

Angle required full rotation= 360-85= 275 degree

3. angle A & B= 130 degree and Angle C, D & E= 50 degree

4. total of semi circle in a straight line= 180 degree

Let x be the balance angle in semi circle of m line

then, x= 180-87= 83 degree

in line l same angle is 83 degree

therefore both lines are parallel.