Question

In the given figure find the value of angle L​

Answer 1

Step-by-step explanation:

angle L= 70 degree

because both triangle are similar to each other

hope it may help you

Answer 2

Concept-

Recall the properties of similarity of triangle and use angle sum property in the triangle.

Given-

In ΔABC, Length of AB is 4.4cm, length of BC is 4cm, length of AC is 3.6cm, ∠ABC is 50°, ∠ACB is 70°.

In ΔLMN, length of LM is 11cm, length of MN is 10cm, length of LN is 9cm.

Find-

find the value of ∠L.

Solution-

From the given figure,

AB/LM=4.4/11

⇒ AB/LM=2/5

BC/MN=4/10

⇒ BC/MN=2/5

CA/NL=3.6/9

⇒ CA/NL=2/5

⇒AB/LM=BC/MN=CA/NL

⇒ΔABC≅ΔLMN       (SSS similarity)

⇒∠L=∠A

= 180°-∠B-∠C

= 60°  ( Using angle sum property)

∴ ∠L=60°

Therefore, the value of ∠L is 60°.

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