$5 . I n f i g . 12.8, ∠ P O Q ≅ ∠ R O S . I s ∠ P O R ≅ ∠ Q O S ? G i v e r e a s o n i n s u p p o r t o f y o u r a n s w e r .$

Open in App

Solution

step 1:- given: $∠ P O Q ≅ ∠ R O S$

to proof:- $∠ P O R ≅ ∠ Q O S$
step 2:- as $∠ P O Q ≅ ∠ R O S$
add $∠ Q O R$ on both sides,
$∠ P O Q + ∠ Q O R ≅ ∠ R O S + ∠ Q O R$
$∠ P O R ≅ ∠ Q O S$
Hence, proof.

Suggest Corrections

Similar questions

Q. In Fig., ∠POQ ≅ ∠ROS, can we say that ∠POR ≅ ∠QOS

7. In fig. 12.10,

$∠ 1 ≅ ∠ 2 a n d ∠ 5 ≅ ∠ 6 . (a) i s ∠ 3 ≅ ∠ 4 ? g i v e r e a s o n i n s u p p o r t o f y o u r a n s w e r .$

7.(b) 7. in fig. 12.10 ,

$∠ 1 ≅ ∠ 2 a n d ∠ 5 ≅ ∠ 6 . (b) i s ∠ 7 ≅ ∠ 8 ? g i v e r e a s o n i n s u p p o r t o f y o u r a n s w e r .$

Q. In the given figure,

∠ P O R + ∠ Q O S = 110^{0} .

Find

∠ R O S .

Question 22

In the given figure, $∠ R O S$ is a right angle and $∠ P O R$ and $∠ Q O S$ are in the ratio 1:5. Then, $∠ Q O S$ measures

(a) $150^{\circ}$
(b) $75^{\circ}$
(c) $45^{\circ}$
(d) $60^{\circ}$

Join BYJU'S Learning Program

5.Infig.12.8,∠POQ≅∠ROS.Is∠POR≅∠QOS?Givereasoninsupportofyouranswer.

step 1:- given:∠POQ≅∠ROS to proof:- ∠POR≅∠QOSstep 2:- as ∠POQ≅∠ROS add ∠QOR on both sides, ∠POQ+∠QOR≅∠ROS+∠QOR ∠POR≅∠QOS Hence, proof.

$5 . I n f i g . 12.8, ∠ P O Q ≅ ∠ R O S . I s ∠ P O R ≅ ∠ Q O S ? G i v e r e a s o n i n s u p p o r t o f y o u r a n s w e r .$

step 1:- given: $∠ P O Q ≅ ∠ R O S$

to proof:- $∠ P O R ≅ ∠ Q O S$
step 2:- as $∠ P O Q ≅ ∠ R O S$
add $∠ Q O R$ on both sides,
$∠ P O Q + ∠ Q O R ≅ ∠ R O S + ∠ Q O R$
$∠ P O R ≅ ∠ Q O S$
Hence, proof.