Question

19) If 5a-2b=180, 3a+2b=140 then find the values of a and b?
A) a=35,b=10
B) a=45, b=10
C) a=40,b=15
D) a=40,b=10
E) a=20,b=12​

Answer 1

Step-by-step explanation:

Two angles which have a common vertex, a common arm and separate interiors are said to be adjacent angles

(i)

In ∠PMQ and ∠RMQ, M is the common vertex and MQ is the common arm.

Therefore, ∠PMQ and ∠RMQ are adjacent angles.     

(ii) 

The angles ∠RMQ and ∠SMR have a common vertex M, but don't have common arm.

Therefore, ∠RMQ and ∠SMR are not adjacent angles.     

(iii)

The angles ∠RMS and ∠RMT have a common vertex M, but don't have common arm.

Therefore, ∠RMS and ∠RMT are not adjacent angles.   

(iv)

In ∠SMT and ∠RMS, M is the common vertex and SM is the common arm.

Therefore, ∠SMT and ∠RMS are adjacent angles.