Question

If triangle ABC is similar to triangle PQR angle A=50° find angle Q+angle R​

Answer 1

Step-by-step explanation:

similar triangle means both yriangle has same angle but different size so that

angle of /a = /p

/b = /q

/c = /r

sum of angle triangle a + b + c =180

50 + b +c = 180

b + c = 130

so that

angle q + angle r = 130`

Answer 2

Concept

Two triangles are similar if they have the same ratio of corresponding sides and equal pairs of corresponding angles. The angles of both the triangles are same.

Given

1) Triangle ABC is similar to triangle PQR

2) Angle A = 50

Find

Angle Q + Angle R

Solution

As both the triangles are similar

So, the angles will be same

As angle A = 50

So, Angle P = 50

In triangle PQR

We know that

Angle P + Angle Q + Angle R = 180

50 + Angle Q + Angle R = 180

Angle Q + Angle R = 180 – 50

Angle Q + Angle R = 180 = 130

The value of Angle Q + Angle R is 130 if triangle ABC is similar to triangle PQR and angle A=50°.

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