Question

Can anyone pls solve these sums??​

Answer 1

Answer:

I can't understand in which class question please tell me on my I'd

Answer 2

Step-by-step explanation:

1st sum

Construction - Draw a line parallel to BC

Proof - LM || BC

Angle 2 = angle y ---- (1)

(Alternate interior angles)

Angle 1 = angle 2 ------ (2)

Sum of angles at any point on a line is 180°

∴Angle 2 + x + angle 1 = 180°

= Angle y + angle x + angle z = 180°

= Angle A + angle B + angle C = 180°

2nd sum

Angle TRS = Angle TQR + Angle OTR ( Exterior angle property )

= Angle QTR = Angle TRS - TQR

Also, Angle SRP = Angle QPR + PQR --- (1)

2Angle TRS = Angle QPR + 2 angle TQR

QPR = 2 Angle TRS - 2 angle TQR

== 1/2 QPR = TRS - TQR ---- (2)

From (1)

Angle QTR = 1/2QPR

HENCE PROVED!