Question

in the given figure it is given that LM parallel PQ angle LMO equal 35 degree and Angle PQR = 65 degree find the measure of angle MOQ​

Answer 1

Answer:

I hope it help full

Step-by-step explanation:

In ΔPQR,

∠PQR+∠QRP+∠RPQ=180

o

[By Angle sum property of a Δ]

⇒25

o

+65

o

+∠RPQ=180

o

⇒90

o

+∠RPQ=180

o

⇒RPQ=180

o

−90

o

=90

o

Thus, ΔPQR is a right angled triangle, right angled at P,

Side QR is opposite to right angle P

hence QR is hypotenuse

∴[Hypotenuse]

2

=(Base)

2

+(Perpendicular)2 [By Pythagoras theorem]

⇒(QR)

2

=(PR)

2

+(QP)

2

Hence, option (ii) is correct.