Question

$\Delta$ABC and $\Delta$PQR are similar triangles. If $\angle$A = 50° and $\angle$C = 60°, find the measure of $\angle$Q in degrees.

• A. 70

Answer 1

The correct option is A 70
$\Delta$ABC $\sim$ $\Delta$PQR, $\angle$A = 50° and $\angle$C = 60°

In $\Delta$ABC

$\angle$A + $\angle$B + $\angle$C = 180° [Sum of interior angles of a triangle is 180°.]

50° + $\angle$B + 60° = 180°
$\angle$B = 70°

We know that corresponding angles of similar triangles are equal. So,
$\angle$Q = $\angle$B = 70°