Question

50. In the given figure, if PQ || RS, then find the measure of angle m.
P
56°
Q
т.
R
1140
S

Answer 1

Step-by-step explanation:

m=110 degree

if you want to check if it is correct answer then add 14+56+110. And if the answer of adding comes to 180 then this is the correct answer

Answer 2

Answer:

PQ∣∣RS and PS is transversal .

∴∠QPS=∠PSR  (Alternate angles)

⇒∠PSR=43∘

Now in the lower triangle by using angle sum property of triangle 

m+43∘+27∘=180∘⇒m+70∘=180∘⇒m=180∘−70∘=110∘