Question

plz answer I beg u no tricks

Answer 1

Answer:

Step-by-step explanation:

Q 10) 2x +4x +3x=180

9x=180

x =180/9

x=20

so,

4x=4*20=80

3x=3*20=60

2x=2*20=40

angle abc=y

so, angle y=60

Q 11) Given; PS is bisector of angle QPR

PT is perpendicular to QR

To Prove; angle TPS = 1/2 (angle Q - angle R)

Solution: We know that angle QPS = 1/2 angle P

(1) angle Q + angle QPT = 90 degree

angle QPT = 90 degree -angle Q (2) On putting equations (1) and (2)

angle TPS = angle QPS - angle QPT

= 1/2 angle P - ( 90 - angle Q )

= 1/2 angle P - 90 + angle Q

= 1/2 angle P - 1/2 (angle Q + angle P + angle R) + angle Q

= 1/2 angle P - 1/2 angle Q - 1/2 angle P - 1/2 angle R + angle Q

= -1/2 angle Q - 1/2 angle R + angle Q (+ve and -ve 1/2 angle P got cancelled )

by taking LCM in angle Q we get

-1/2 angle Q + 2/2 angle Q - 1/2 angle R

(-1/2 + 2/2) angle Q - 1/2 angle R

= 1/2 angle Q - 1/2 angle R

angle TPS = 1/2 ( angle Q -1/2 angle R ) (Hence proved)

Q 12) I dint have time to type the last one. so i have a picture for it. pls refer to it.