Question

the answer is 125 but how pls solve my question ​

Answer 1

Answer: hii.....I think the answer is 110° and not 125°

Step-by-step explanation:

@NMJ=110. (GIVEN)

SO....@NMJ+LMT=180. ( Linear pair)

SO..... 110+@LMT=180

SO..... @LMT=70. (180-110=70). -------------(1)

SINCE KL||TN, AND LM IS TRANSVERSAL:-

@LMT=@JLK. (Corresponding angles)

SO...... @JLK=70°. (from (1))

SINCE LJ=LK. (GIVEN)

@JLK=@JKL. (angles opposite to equal sides are equal)

So...... @JKL=70°

SINCE KL||TN, AND KL IS TRANSVERSAL:-

@ JKL=@JTM. (corresponding angles)

So....... @JTM=70°

SO...@JTM+@MTS=180 (linear pair)

Therefore...@MTS=180-70. (since @JTM=70)

HENCE...@MTS=110°. (ANSWER)