Respuesta :

∆ PQR is congruent to ∆ STU

This means --
P = S
Q = T
R = U

R = 80°
S = P = 70°

So in ∆PQR, we know R = 80° , P = 70° and Q = ?

Using angle sum property of triangle,
P+ Q + R = 180°
70° + 80° + Q = 180°
150° + Q = 180°
Q = 30°

Hope This Helps You!

Congruent triangles have equal corresponding angles

The measure of <Q is 30 degrees

The given parameters are:

m∠R=80°, and m∠S=70°

△PQR≅△STU

Given that both triangles are congruent, then the measure of Q is calculated using:

Q = 180 - 80 - 70

Evaluate the difference

Q = 30

Hence, the measure of <Q is 30 degrees

Read more about congruent triangles at:

https://brainly.com/question/1675117