Question

△JKL≅△QRS.

What is m∠Q?

Answer 1

m∠Q = 37°

Explanation:

It has been given that ΔJKL ≅ ΔQRS

∠J = 37° and ∠K = 105°

Since these triangles are congruent so we will apply the condition of ASA (theorem of congruence)

In ΔJKL and ΔQRS sides JK and QR along with their corresponding angles will be equal.

Side JK = side QR

and ∠K = ∠R = 105°

∠J = ∠Q = 37°

Therefore m∠Q = 37° will be the answer.

Answer 2

we know that

If △JKL≅△QRS

then

the corresponding angles are congruent

so

m∠Q=m∠J

m∠R=m∠K

m∠S=m∠L

we have

m∠J=
`37\°`

therefore

the answer is

m∠Q=
`37\°`