Question

In a triangle L M N, angle L =50° & angle N=60°, if triangle L M N~P Q R then find angle Q

Answer 1

Hi,

L~P
M~Q
N~R
angleM=70°

Q=70°

Answer 2

Answer:

The measure of angle Q is 70°.

Step-by-step explanation:

It is given that

L =50°, N=60°,

$\triangle LMN\sim \triangle PQR$

The corresponding angles of two similar triangle are same.

$\angle M=\angle Q$              ....(1)

According to angle sum property the sum of interior angles of triangle is 180 degree.

$\angle L+\angle M+\angle N=180$

$50+\angle M+60=180$

$\angle M=70$

Using (1), we get

$\angle Q=70$

Therefore the measure of angle Q is 70°.