In the diagram, P Q R S , J Q K and L R K are straight lines What is the size of the angle J K L ?
Answers
Given : PQRS, JQK and LRK are straight lines
To find : size of the angle JKL?
Solution:
PQR is Straight line
=> 2y + x + ∠MQR = 180°
SRQ is Straight line
=> 2x + y + ∠MRQ = 180°
Adding both => 3x + 3y + ∠MQR + ∠MRQ = 360°
∠MQR + ∠MRQ + 33° = 180°
=> ∠MQR + ∠MRQ = 147°
=> 3x + 3y + 147° = 360°
=> 3x + 3y = 213°
=> x + y = 71°
x + ∠MQR = ∠QRK + ∠QKR
y + ∠MRQ = ∠KRQ + ∠QKR
=> x + y + ∠MQR + ∠MRQ = ∠QRK + ∠QKR + ∠KRQ + ∠QKR
=> 71° + 147° = 180° + ∠QKR
=> ∠QKR = 38°
∠QKR = ∠JKL
=> ∠JKL = 38°
∠JKL = 38°
Learn More:
Calculate the size of the largest angle in the triangle. Give your ...
https://brainly.in/question/17420059
if the sum of two adjacent angles is 180 degree then the non ...
https://brainly.in/question/2152912
