Angle pqr and angle pqs are linear pair of angles. if 11angle pqr=9angle pqs , then find angle angle pqr and angle pqs.
Answers
The value of ∠pqr = 81° and ∠pqs = 99°.
Step-by-step explanation:
It is given that,
∠pqr and ∠pqs are linear pair of angles
i.e., ∠pqr + ∠pqs = 180° ...... (i)
Also given,
11 × ∠pqr = 9 × ∠pqs
⇒ ∠pqr = (9/11) × ∠pqs ..... (ii)
Now,
By substituting (ii) in (i), we get
[(9/11) × ∠pqs] + ∠pqs = 180°
⇒ ∠pqs [(9/11) + 1] = 180°
⇒ ∠pqs [(9+11)/11] = 180°
⇒ ∠pqs [20/11] = 180°
⇒ ∠pqs = 180° × [11/20]
⇒ ∠pqs = 9 × 11
⇒ ∠pqs = 99°
By substituting the value of ∠pqs in (ii), we get
∠pqr = (9/11) × ∠pqs
⇒ ∠pqr = (9/11) × 99°
⇒ ∠pqr = 9 × 9
⇒ ∠pqr = 81°
----------------------------------------------------------------------------------------------
Also View:
One of the angles forming a linear pair is 60°.Find the other angle.
https://brainly.in/question/3670106
Two angles forming a linear pair are in the ratio 3:7, find the angles .
https://brainly.in/question/2451316
I DON'T KNOW ANY METHOD TO SOLVE THIS PROBLEM BUT IT IS VERY EASY YOURS MINDS ARE VERY POWERFUL FOR ME OK DONT BE ANY UPSETNESS IN YOUR MIND OK GIVE YOUR EXAM DO BY YOURSELF (BEST OK LUCK ) I hint you these sun we found a linear pair of angles LEARN BY HEART DO HW OF THIS SUM