Question

☣FIGURE GIVEN PLS FIND☣ ☣Question no 16.☣

Answer 1

Answer:

Step-by-step explanation:

<QOR = 90 (GIVEN)

<ROP =180 - <QOR (LINEAR PAIR )

THEREFORE ,

<ROS + <POS = 90 (EQ.1)

ALSO ,

<QOS - <ROS= 90 (FROM FIG.) (EQ.2)

Equating 1 and 2 ,

<ROS + <POS = <QOS - <ROS

2<ROS =<QOS - <POS

<ROS=1/2 (<QOS - <POS)

H.P

Answer 2

Answer:

Step-by-step explanation:

Given :POQ is a line and OR prependicular on PQ

To prove: angleROS =1/2 (QOS -POS)

Proof: ROQ=ROP =90 ( OR prependicular on PQ)

ROS =QOS - ROQ

ROS =QOS -90 (ROQ=90)-----1

ROS = ROP- POS

ROS = 90 - POS ( ROP = 90)--–---2

Adding equation 1 and 2 ,we get:

ROS + ROS =QOS - 90 + 90 - POS

2ROS = QOS - POS (-90 +90 are cancel out)

ROS = 1/2 (QOS -POS)